{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Production decline analysis : Chapter 1\n",
    "\n",
    "**Divyanshu Vyas | Oil and Gas Data Science/Machine Learning**\n",
    "\n",
    "> LinkedIn - www.linkedin.com/in/divyanshu-vyas\n",
    "\n",
    "> GitHub - https://github.com/Divyanshu-ISM\n",
    "\n",
    "\n",
    "\n",
    "> Lit. Ref. : Boyun Guo | Tarek Ahmed\n",
    "\n",
    "Production decline analysis is a traditional means of\n",
    "identifying well production problems and predicting\n",
    "well performance and life based on real production\n",
    "data. It uses empirical decline models that have little\n",
    "fundamental justifications. These models include the\n",
    "following:\n",
    "\n",
    ". Exponential decline (constant fractional decline)\n",
    "\n",
    ". Harmonic decline\n",
    "\n",
    ". Hyperbolic decline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Hyperbolic-Decline Model\n",
    "\n",
    "The Most Generic model of all. The constants **b** and **d** are determined by production data.\n",
    "> ### $ \\frac{1}{q} \\frac{dq}{dt} = -b q^{d} $\n",
    "\n",
    ">> 0<d<1 : Hyperbolic Model | d=0 : Exponential Model | d=1 : Harmonic Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 1: Exponential Decline\n",
    "\n",
    "Given that a well has declined from\n",
    "100 stb/day to 96 stb/day during a 1-month period, use the\n",
    "exponential decline model to perform the following tasks:\n",
    "1. Predict the production rate after 11 more months\n",
    "2. Calculate the amount of oil produced during the first\n",
    "year\n",
    "3. Project the yearly production for the well for the next 5\n",
    "years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Imports\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Decline Rate b is 0.0408219945202552 /month\n"
     ]
    }
   ],
   "source": [
    "t_1m = 1 #month\n",
    "q_1m = 96 #stb/d\n",
    "\n",
    "t_0m = 0 #month\n",
    "q_0m = 100 #stb/d\n",
    "\n",
    "b = np.log(q_0m/q_1m)/(t_1m - t_0m)\n",
    "\n",
    "\n",
    "print(f'The Decline Rate b is {b} /month')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The flowrate at the end of 12 months is: 61.27097573297669 STB/Day\n"
     ]
    }
   ],
   "source": [
    "# Now using this per month decline, we can calculate the Flow Rate at the end of 1 yr. \n",
    "\n",
    "def q_calculator_exp(month):\n",
    "    \n",
    "    return q_0m*np.exp(-month*b)\n",
    "\n",
    "\n",
    "q_12m = q_calculator_exp(12)\n",
    "\n",
    "\n",
    "print(f'The flowrate at the end of 12 months is: {q_12m} STB/Day')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's visualize how this flowrate v/s time looks like. \n",
    "\n",
    "t = np.arange(0,100,1)\n",
    "\n",
    "q = q_calculator_exp(t)\n",
    "\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.style.use('default')\n",
    "\n",
    "plt.plot(t,q,marker='x',label='Exponential Decline')\n",
    "\n",
    "plt.ylabel('Flow Rate(q, STB/D)')\n",
    "plt.xlabel('Time(months)')\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The flowrate at the end of 5yrs is: 8.635231448510442 STB/Day\n"
     ]
    }
   ],
   "source": [
    "#Production rate after 11 MORE months - Means at the end of 1 Year. (1 + 11)\n",
    "\n",
    "#At the end of 5 yrs, Total Months = 5*12\n",
    "\n",
    "q_5yr = q_calculator_exp(60)\n",
    "\n",
    "print(f'The flowrate at the end of 5yrs is: {q_5yr} STB/Day')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculation of Cummulative Production.\n",
    "\n",
    "> ### $ N_{p} = \\frac { q_0 - q_0 e^{-bt} } {b} $\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Np_exp(t):\n",
    "    \n",
    "    Np = (q_0m - q_0m*np.exp(-b*t))/b\n",
    "    \n",
    "    return Np\n",
    "\n",
    "\n",
    "Np_monthwise = Np_exp(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.style.use('default')\n",
    "\n",
    "plt.plot(t,q,marker='x',label='Flow Rate (Exp. Decline)')\n",
    "plt.plot(t,Np_monthwise/10,marker='o',label='Cumm. Prod.(x10) (Exp. Decline)')\n",
    "\n",
    "Np_1yr= Np_exp(12)\n",
    "Np_2yr= Np_exp(24)\n",
    "Np_3yr= Np_exp(36)\n",
    "Np_4yr= Np_exp(48)\n",
    "Np_5yr= Np_exp(60)\n",
    "\n",
    "\n",
    "plt.axvline(12,c='red')\n",
    "\n",
    "plt.ylabel('Flow Rate(q, STB/D)')\n",
    "plt.xlabel('Time(months)')\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Exponential Decline Analysis')"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create figure and axis objects with subplots()\n",
    "fig,ax = plt.subplots()\n",
    "# make a plot\n",
    "ax.plot(t,q, color=\"red\", marker=\"x\")\n",
    "# set x-axis label\n",
    "ax.set_xlabel(\"Time(Months)\",fontsize=14)\n",
    "# set y-axis label\n",
    "ax.set_ylabel(\"Flow Rate(STB/Day)\",color=\"red\",fontsize=14)\n",
    "ax.grid()\n",
    "\n",
    "\n",
    "\n",
    "ax2=ax.twinx()\n",
    "# make a plot with different y-axis using second axis object\n",
    "ax2.plot(t,Np_monthwise,color=\"blue\",marker=\"o\")\n",
    "ax2.set_ylabel(\"Cummulative Production (Np, STB)\",color=\"blue\",fontsize=14)\n",
    "\n",
    "ax2.axvline(60,color='green',lw=3,label='5 Years.')\n",
    "ax2.legend(loc='center right')\n",
    "\n",
    "\n",
    "plt.title('Exponential Decline Analysis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "###########################"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 2 : All Models and a Full-Proof DCA Workflow\n",
    "\n",
    "## A. Harmonic Model \n",
    "\n",
    "### $ \\frac{1}{q} \\frac {dq}{dt} = - bq $\n",
    "\n",
    "### $ q = \\frac {q_0} {1 + bt} $\n",
    "\n",
    "## A.1 Basis For Log-Log diagnosis of Harmonic Decline : log-log straight line\n",
    "> ### $ ln(q) = ln(q_0) - ln(1 + bt) $ \n",
    "### $ N_p = \\frac {q_0} {b} ln(1 + bt) = \\frac {q_0} {b} [ ln(q_0) - ln(q) ] $\n",
    "\n",
    "## B. Hyperbolic Model \n",
    "\n",
    "### $ q = \\frac {q_0} { (1 + bdt)^{1/d}} $\n",
    "\n",
    "Here, a = 1/d\n",
    "\n",
    "### $ q = \\frac {q_0} { (1 + \\frac{b}{a}t)^{a}} $\n",
    "\n",
    "### $ N_p = \\frac {b}{b(a-1)} [q_0 - q(1 + \\frac{b}{a}t) ]   $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "################################################"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example 2 : DCA Workflow\n",
    "\n",
    "For the data given,\n",
    "identify a suitable decline model, determine model\n",
    "parameters, and project production rate until a marginal\n",
    "rate of 25 stb/day is reached."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_excel('DCA.xlsx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(months)</th>\n",
       "      <th>q(stb/day)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>904.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>818.73</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>740.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>670.32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>606.53</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   t(months)  q(stb/day)\n",
       "0          1      904.84\n",
       "1          2      818.73\n",
       "2          3      740.82\n",
       "3          4      670.32\n",
       "4          5      606.53"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "t = df['t(months)'].values\n",
    "\n",
    "q = df['q(stb/day)'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('default')\n",
    "plt.figure(figsize=(5,4))\n",
    "\n",
    "plt.plot(t,q,label='Cartesian q vs t')\n",
    "plt.scatter(t,q,label='Cartesian q vs t')\n",
    "# plt.plot(np.log(t), q, label='Semi-Log q vs t')\n",
    "# plt.plot(np.log(t), np.log(q))\n",
    "\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('q(stb/d)')\n",
    "\n",
    "plt.grid()\n",
    "\n",
    "#looks like an exponential decline. Still need evidence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\pandas\\core\\indexing.py:671: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  self._setitem_with_indexer(indexer, value)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t(months)</th>\n",
       "      <th>q(stb/day)</th>\n",
       "      <th>dq</th>\n",
       "      <th>dt</th>\n",
       "      <th>-dq/(qdt)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>904.84</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>818.73</td>\n",
       "      <td>86.11</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.105</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>740.82</td>\n",
       "      <td>77.91</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.105</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>670.32</td>\n",
       "      <td>70.50</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.105</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>606.53</td>\n",
       "      <td>63.79</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.105</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   t(months)  q(stb/day)     dq   dt  -dq/(qdt)\n",
       "0          1      904.84   0.00  0.0      0.000\n",
       "1          2      818.73  86.11  1.0      0.105\n",
       "2          3      740.82  77.91  1.0      0.105\n",
       "3          4      670.32  70.50  1.0      0.105\n",
       "4          5      606.53  63.79  1.0      0.105"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Let's Check if it is really exponential or not. \n",
    "#We know that in exponential decline, the b is constant. b = -dq/q/dt\n",
    "\n",
    "df['dq'] = np.zeros(len(df))\n",
    "df['dq'].iloc[1:] = -np.diff(df['q(stb/day)'])\n",
    "\n",
    "df['dt'] = np.zeros(len(df))\n",
    "df['dt'].iloc[1:] = np.diff(df['t(months)'])\n",
    "\n",
    "\n",
    "df['-dq/(qdt)'] = np.round(df['dq']/df['q(stb/day)'],decimals=3)\n",
    "\n",
    "df.head()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.style.use('grayscale')\n",
    "plt.figure(figsize=(5,4))\n",
    "\n",
    "# plt.plot(df['t(months)'][1:], df['-dq/(qdt)'][1:])\n",
    "plt.plot(df['t(months)'][1:], df['-dq/(qdt)'][1:],marker='v')\n",
    "\n",
    "plt.xlabel('time(months)')\n",
    "plt.ylabel('Relative Decline Rate (% decline per unit time)')\n",
    "\n",
    "plt.title('Exp. Decline Confirmation:- Const. (-dq/q/dt) ')\n",
    "\n",
    "# plt.legend()\n",
    "\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Solarize_Light2',\n",
       " '_classic_test_patch',\n",
       " 'bmh',\n",
       " 'classic',\n",
       " 'dark_background',\n",
       " 'fast',\n",
       " 'fivethirtyeight',\n",
       " 'ggplot',\n",
       " 'grayscale',\n",
       " 'seaborn',\n",
       " 'seaborn-bright',\n",
       " 'seaborn-colorblind',\n",
       " 'seaborn-dark',\n",
       " 'seaborn-dark-palette',\n",
       " 'seaborn-darkgrid',\n",
       " 'seaborn-deep',\n",
       " 'seaborn-muted',\n",
       " 'seaborn-notebook',\n",
       " 'seaborn-paper',\n",
       " 'seaborn-pastel',\n",
       " 'seaborn-poster',\n",
       " 'seaborn-talk',\n",
       " 'seaborn-ticks',\n",
       " 'seaborn-white',\n",
       " 'seaborn-whitegrid',\n",
       " 'tableau-colorblind10']"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.style.available"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Production Forecasting\n",
    "\n",
    "Now that we've confirmed the Exponential Decline, we can forecast production rates for the future."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.scatter(df['t(months)'],df['q(stb/day)'],marker='v')\n",
    "plt.style.use('defaul')\n",
    "plt.figure(figsize=(5,4))\n",
    "\n",
    "# plt.plot(t,q,label='Cartesian q vs t')\n",
    "plt.plot(df['t(months)'],df['q(stb/day)'],marker='v',label='Available Data')\n",
    "# plt.plot(np.log(t), q, label='Semi-Log q vs t')\n",
    "# plt.plot(np.log(t), np.log(q))\n",
    "\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('q(stb/d)')\n",
    "\n",
    "plt.legend()\n",
    "plt.grid()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "b is 0.10000098529758515 per month!\n"
     ]
    }
   ],
   "source": [
    "# df.head()\n",
    "\n",
    "b = np.log(904.84/606.53)/(4)\n",
    "\n",
    "print(f'b is {b} per month!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "def qexp_calc(t):\n",
    "    \n",
    "    \n",
    "    \n",
    "    qo = 904.84\n",
    "    \n",
    "    return qo*np.exp(-b*t)\n",
    "\n",
    "\n",
    "t_future = np.arange(24,41,1)\n",
    "\n",
    "q_future = qexp_calc(t_future)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr0AAAHaCAYAAAANPfGnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdeVxP2f/A8den5dO+l7KUSiKyJftWYbJ8yb5lyTYYuxnbZAmDGGHQWEZk32bsgyFkKbuyrxUaypKKCq2/Pz6/zx0fFZlB4jwfjx71uffcc88599Pn877nnnuu7PDhwzkIgiAIgiAIwhdMrbALIAiCIAiCIAgfmwh6BUEQBEEQhC+eCHoFQRAEQRCEL54IegVBEARBEIQvngh6BUEQBEEQhC+eCHoFQRAEQRCEL54IegVBEARBEIQvngh6BUEQBEEQhC+eCHoFQRAEQRCEL55GYRdAEIRPY9++fcyaNUt6raamhqmpKa6urvTp0wcLC4uPXgZ3d3d69eqFj4/PR8l/+/btaGtr06xZM5Xl8fHxdO3albFjx+Za97EFBwezatWqPNcNGzaMtm3bftLyfGohISEkJSXRoUOHAqXv0qULdnZ2zJw5M9e6GzduMHDgwPc+jiNGjABg/vz5Bd7mQxkxYgQXLlwAQCaToa2tjYmJCWXLlsXd3Z0GDRqgppa7/yk9PZ0///yTQ4cOcefOHV6+fImxsTEVK1akTZs2VK1aNdc2YWFhTJgwAUNDQ7Zs2YJcLs+zTO7u7rRp04bhw4d/2MoKwmdOBL2C8JUZO3YsNjY2vHr1iosXL7Ju3TouXLhAUFAQOjo6hV28/2THjh0YGRnlCohMTU0JDAykRIkShVQymDVrFvr6+irLrKysCqk0n87BgweJiYkpcND7MSiD3sJSokQJfH19AXjx4gXx8fEcP34cPz8/KleuzPTp01XeG8nJyYwZM4bo6GiaN29O586dMTQ05MmTJ4SFhfH999+zdOlSHBwcVPazZ88eAJ49e8bx48fx8PD4dJUUhCJABL2C8JWxs7OjXLlyAFSrVo2srCzWrFnD8ePHadq0aZ7bvHz5Em1t7U9ZzA9KLpdToUKFQi1DuXLlMDIy+uD5FvVj8ynY2toW6v7zev+1bNmSvXv3Mnv2bAICApg8ebK0bubMmURFRTF79mxcXFxUtvPw8KBjx44YGBioLH/69CmnTp2iWrVqXLlyhb1794qgVxDeIIJeQfjKKb+MHz58CIC/vz9HjhwhMDCQxYsXc+XKFezs7AgMDOTZs2cEBQURHh5OUlISFhYWeHh40LNnT5VLqampqSxevJhjx46Rnp5OpUqVGDp0aK59+/v7ExkZycaNG1WWK4cEHD58WFqWnZ3N9u3b2bNnD7GxsWhqamJjY4O3tzf16tWjS5cuUh3c3d0BsLS0ZOPGjfkOb7h06RIrV67k+vXrZGdn4+DggLe3N3Xq1JHSKIeFzJ07l9DQUEJDQwGoUqUKw4YNw9zc/L80v2TPnj388ccfxMbGoq2tTZUqVejXrx+lS5dWaa/8jk1GRgYbN27kwIEDxMfHo6urS506dRgwYADGxsYq+woJCWHbtm1ER0cDULJkSdq2bUvLli0BOHv2LNu2bePmzZskJydjYWGBi4sL/fr1Uwnck5KSWL58OadPnyYpKQldXV1KlSpF7969qV69usqlfeUxAVSO63/14MEDli9fzsWLF3n27Bn6+vrY2try3XffST2hbw5vUL4fBg4ciEwmY9u2bSQlJWFvb8/gwYNzBai7d+9m06ZNPHz4kBIlStC9e3fOnj2b53v3fTRv3pwjR45w5MgR4uPjsbKy4saNG5w6dYpWrVrlCniVypcvn2vZX3/9RVZWFh07dsTU1JTDhw9LeQqCoCCCXkH4yt2/fx9AJTDKzMzE19eXVq1a0bVrV7KyskhPT2fkyJE8ePCA3r17Y29vz8WLF1m/fj23b9/G398fgJycHCZOnMjly5fp2bMn5cuX5/Lly4wbN+4/ldPf35+QkBBatGhB79690dTU5ObNm8THxwMwbdo0/Pz80NPTk4IcTU3NfPOLjIxk9OjR2NvbM3r0aDQ1NdmxYwe+vr5MmDAhVy/ZnDlzqFWrFhMmTODRo0csXbqUGTNmMHfu3AKVPysri6ysLJVl6urqAKxbt47ly5fj4eFB//79efbsGatWrWLw4MEsWbKEUqVKSdvkdWyys7OZMGECFy9epEuXLjg7OxMfH09wcDDXrl1j6dKlaGlpAbBixQrWrFlDgwYN6NSpE3p6esTExEgnDKAIJCtWrEjLli3R09MjPj6eLVu2MHToUFasWIGGhuKrY8aMGdy6dYu+fftSqlQpUlJSuHXrFsnJyYAi2AwICODBgwdMmzatQO30vsaNG0d2djYDBgygWLFiJCcnc+XKFVJSUt657fbt27GxsWHw4MEArFy5knHjxrF+/XppuMGuXbuYO3cuDRs25LvvviM1NZXVq1eTnp7+Qcpft25dTp06xaVLl7CysuLs2bMA1K9f/73y2bt3L2ZmZtSsWRO5XM7Bgwf566+/6NWr1wcppyB8CUTQKwhfGWXwlZ6eTmRkJGvXrkVXV5e6detKaTIzM+nZsyfNmzeXlu3cuZPo6GgmT56Mm5sbAK6urujo6LBs2TLOnj2Lq6srZ86cISIigiFDhtC+fXspnYaGBkFBQf+qzBcvXuTAgQN0796dvn37Sstr1qwp/V22bFnkcjm6uroFGsrw22+/YWBgwPz586WxzHXq1KF///4sWbIEd3d3ZDKZlL5GjRoMGzZMev38+XOWLl3K06dPMTU1fef+lG2hZG5uzpYtW0hJSWHNmjXUqlWLiRMnSuurVq1K9+7dCQ4OZsKECdLyvI7NoUOHOH36NFOmTKFhw4bScgcHBwYOHMi+ffvw8vIiLi6OdevW0aRJE2mMKSiOz+tat24t/Z2Tk4OzszNVq1alS5cunDp1inr16gFw+fJlWrZsyf/+9z8p/evBmq2tLfr6+mhqan6U4SXJycnExsYyePBglaE5r7fB2+jq6jJjxgzp5MPc3JxBgwZx+vRpPDw8yM7OJjg4GCcnJ6ZMmSJtV6lSJbp3746Zmdl/roOyJ/bJkycAPHr0SGV5QVy8eJHY2Fi6deuGuro6Li4uFC9enL1799KzZ0+V9zEoTraUJy6C8DUR73pB+Mooe7WU7O3tGTFiRK7A7c3AISIiAm1tbRo1aqSyvFmzZixbtozz58/j6upKREQEAE2aNFFJ16RJk38d9J46dQqANm3a/Kvt3/TixQuuXbtG69atVW7eU1dXp2nTpixbtozY2FhsbGykda+fFICi3UBxqbwgQe+cOXNUblZSBh1Xrlzh1atXuW6+K1asGC4uLpw/fz5XXm8emxMnTqCvr0/dunVVepMdHBwwNTUlMjISLy8vzp49S3Z29jvbMTExkZUrV3Ly5EkSEhLIzs6W1t27d08KesuXL8++ffswNDSkevXqODo6ftJgytDQkBIlSrBp0yays7OpVq0aZcqUyXM2hLzUrl1bCnjhn2Oq7PWOjY3l6dOndO7cWWU7S0tLnJ2diYuL+891yMnJ+c95KG9gU54IyWQyPD09CQ4O5vz581SvXl0lvZ6eHrq6uv95v4JQ1IigVxC+MuPHj6d06dKoq6tjYmKSZ2+VtrY2enp6KsuePXuGqalprl4jExMT1NXVefbsmZROXV09101bBQkM85OcnCxNsfYhpKSkkJOTk2fdlWN0lZfold6sj3IMc0Evczs4OOR5I5uy3fIqi5mZmbReKa9jk5iYSEpKSr43Iirrovz9tunpsrOzGT16NAkJCfTo0QN7e3u0tbXJzs5m8ODBvHr1Sko7efJk1qxZw59//smKFSvQ0dGhfv36DBw48F8fK3V1dZUg+3XKgF4ZqMpkMgICAli9ejUbN25k8eLFGBoa0rhxY/r16/fOwM7Q0FDltfKYKuuobHsTE5Nc25qYmHyQoFcZYCvfd8WKFQMUJ1Ovn3TlJy0tjSNHjlC+fHmMjY2lYR0NGjRg1apV7NmzJ1fQq6+vn+s9JAhfAxH0CsJXpnTp0tLsDe/D0NCQa9eukZOToxL4JiYmkpWVJQV0hoaGZGVlkZycrBLkPX36NFeecrmcjIyMXMvzCjizs7N5+vTpB7mkrK+vj5qaGgkJCbnWKS8zf4yZFvKiDLzyKktCQkKBymFkZIShoSGzZ8/Oc72yN1uZ1+PHj6Xg6k0xMTFERUXluulPOfb7zf0OGTKEIUOG8PDhQ8LDw1m2bBlJSUn5luVdTExMpGPwpsePHwOqJ1BWVlaMGTMGUPTMhoaGEhwcTGZmJqNGjfpXZVBSHpvExMRc6/J6P/8b4eHhyGQyKleuDCiG0Sxfvpzjx4+rDN/Jz8GDB3n58iXXr1+nVatWudYfO3aM58+fq8z2sG7dug9SdkEoasQT2QRBKBAXFxdevHjB8ePHVZbv379fWg+KadBAMUPA6958DYqAJSkpSSWAyMjI4MyZMyrpatWqBSjm4X0bTU1NlZ7I/Ojo6ODk5MSxY8dU0mdnZxMSEoKFhQXW1tbvzOdDqFixIlpaWhw4cEBl+ePHjzl//ny+d/C/rnbt2jx79oysrCzKlSuX60fZY1ijRg3U1NTe2o7KE5o3H2ywa9eut5bB0tKStm3b4urqyq1bt6Tlmpqa73XTV/Xq1YmJieHOnTu51oWGhkrHLi/W1tZS7/TrZfi3rK2tMTU1lWbsUHr48CFXrlz5z/nv3buXU6dO4eHhgaWlJQCOjo7UqlWLPXv25Dm0BRQP6VD2EO/ZswddXV0CAgKYN2+eys/AgQPJyMjI839PEL5GoqdXEIQC8fT0ZPv27fj7+xMfH4+9vT2XLl1i3bp11KpVS7qE6urqSuXKlVm6dCkvX76kXLlyXL58OVdQB4pprFauXMm0adPo3Lkz6enpbN26Ndfl7cqVK9O0aVPWrl1LYmIiderUQVNTk9u3b6OlpUW7du0AxZjMQ4cOcejQIUqUKIFcLpfGab6pX79+jB49mpEjR9K5c2c0NDTYsWMHMTExTJgwIdcwjo9FX1+fHj16sHz5cmbMmEHjxo2l2RvkcnmB7r738PDg4MGDjB8/nnbt2uHk5IS6ujqPHz8mMjKSevXq0aBBA6ysrPD29mbNmjWkp6fj4eGBnp4ed+/eJTk5md69e2NjY0OJEiVYtmwZOTk5GBgYcOLECc6dO6eyz5SUFEaNGkXjxo2xsbFBR0eHGzducPr0aRo0aCCls7e359ixY+zYsQNHR0fU1NTeeqWhffv27N+/n5EjR+Lt7Y2dnR0pKSkcPnyYI0eO8N1330nDFqKioliwYAGNGjWiVKlSaGhoEBERQXR0NF27dv2XR+Qfampq+Pj4MHfuXCZPnkzz5s1JSUlh9erVmJmZFXjscHp6OlevXgUUQycePHhAWFgYJ06coEqVKrl6pMePH8+YMWMYN24czZs3p2bNmhgYGJCQkMCJEyc4ePAgS5cuJS0tjevXr9O6des8T46cnZ3ZvHkze/bsUXnyX+PGjWnTpk2e0wgKwpdMBL2CIBSIXC5n3rx5BAUFsWnTJpKSkjA3N6dTp04qgZmamhrTp0/n119/ZePGjWRmZuLs7MzMmTNzBXDFixfnp59+Yvny5fj5+WFmZkaHDh1ITk7O9ejecePG4ejoyJ49e/jrr7+Qy+XY2tri7e0tpfHx8SEhIYGAgADS0tKkeXrzUrVqVebOncvKlSvx9/cnJyeHMmXKMH36dJV5ej8Fb29vjI2N2bp1K6GhocjlcqpWrUq/fv1UpivLj7q6OtOnT+ePP/5g//79rF+/HnV1dSwsLKhSpYpK4N+nTx9KlSrFtm3bmD59Ourq6pQqVUo6cdDQ0GDGjBksWrSIuXPnSrMBzJkzR+WGLrlcjpOTE/v37+fhw4dkZmZSrFgxunbtSpcuXaR07du3586dOyxfvpzU1FRycnLeOk+voaEhgYGBrFq1it9//50nT56gpaVFmTJl8PPzU7mR0tTUlBIlSrBjxw4ePXqETCajePHiDBo06IM93rlVq1bIZDI2btzIpEmTsLKyomvXroSFhUkzLbzLgwcPpBtItbW1MTU1pWzZsvj5+eX5GGIjIyMWLlzI7t27OXTokDSEwcTEBCcnJ6ZPn46DgwOBgYFSGfOioaFBs2bNWL9+PTdv3sTR0RFQXNHIb9y0IHzJZIcPH/7vt44KgiAIwlciJSWFHj16UK9ePX744YfCLo4gCAUkenoFQRAEIR9Pnz5l7dq1VK1aFUNDQx4+fMjvv/9OWlparrmXBUH4vImgVxAEQRDyoampSXx8PPPnz+f58+doaWlRoUIFRo4ciZ2dXWEXTxCE9yCGNwiCIAiCIAhfPDFlmSAIgiAIgvDFE0GvIAiCIAiC8MUTQa8gCIIgCILwxRM3sr1FdnY2CQkJ6OjofLKJ6gVBEARBEISCy8nJ4cWLF+98aIwIet8iISGBTp06FXYxBEEQBEEQhHfYvHkzFhYW+a4XQe9b6OjoABAbG4uhoWGBtomMjKRRo0YcOXKEqlWrfsziFVmijd5OtM/bifZ5N9FGb3f85HFaerZkZtBM7MqJacfeFHMjhvF9x4v2yUNWdCxp05cDkNiyJTY1axZyiT5PV65cYdq0aZ/sM+jZs2dYW1tLcVt+RND7FsohDYaGhgUOevX19aXfBd3mayPa6O1E+7ydaJ93E230dnp6egBo62qjq69byKX5/Gjraku/RfuoytLVAXV1AF5qaaGrK9onL9raivfQp/4MetdQVHEjmyAIgiAIgvDFE0GvIAiCIAiC8MUTQa8gCIIgCILwxRNjeoUvUk5ODhkZGWRlZRV2Ud5bTk4OdnZ20hQsgirRPu8m2ujtZDIZdnZ26Mp10cgRX4Nv0pXrfpXtk0MOWWSBmKH0i/X1vJuFr0ZmZiaJiYno6Oig/v83HBQldnZ2bN68GTs7cdd0XkT7vJtoo7erUK4CmzdvxqqUFXIteWEX57NTyaoSLptdvrr2Sc9I52nyU+6l3iNHllPYxRE+AhH0Cl+UnJwcEhMTMTc3L7IPFMnOzgZAS0vrndOvfI1E+7ybaKO3y8zKBEBTrvlVBXUFlZOjCPi+tvaRa8kVM3s8gLupd0WP7xdIjOkVvigZGRniCXqCIAjCvyKTyTA1MkVNhEdfJHFUhS9KVlZWkRzSIAiCIHwe5JpyEfR+ocRRFQRBEARBEL54IugtRG5ubshksrf+uLm5FXYxBUEQBEEQijwR9BYiPz+/D5JGEAoiNDQUmUxGUlISAMHBwRgbG79XHra2tsyfP/+taWQyGdu3b//X5RQEQRCEj0EEvYXIzc2NRo0a5bu+UaNGoqf3E/ocet7Dw8MxNDRk6NChHzzvunXrEhcXh5GR0QfP+0O6c+eOSpsbGBhQsWJFBg8ezK1bt947v4IE6oIgCMKXTwS9hextPbmil/fT+hx63lesWMHAgQO5cOECsbGxHzRvuVyOlZVVkZnZIiQkhLi4OC5cuMCMGTO4du0aVapU4fDhw4VdNEEQBKEIEkFvIcuvt1f08n56hd3znpqayubNm+nXrx/169dn7dq10ro6deowbtw4lfSPHz9GU1NTCgLXrl2Lq6srBgYGWFlZ0a1bNx49eiSlf3N4w5uioqLw8vLC0tISfX19atSoQUhISK50z58/p1u3bujr61OiRAkWLlz41nrdv3+fzp07Y2JigpmZGV5eXty5c+ed7WFmZoaVlRX29vZ4eXkREhJCrVq1GDx4sPSkvXeV2c3Njbt37zJy5Eip5xggISGBrl27UqpUKXR1dalUqRIbNmx4Z5kEQRCEoksEvZ+BvHoPRS/vh5GSksKpU6cK/NOpU6d88+rUqdN75ZWSkvJeZd20aRPlypXD0dGR5s2bs3btWmmSeG9vbzZs2CC9Vqa3tLSUAvX09HSmTZvGhQsX2L59OzExMfj4+LxXW7Vo0YKQkBAiIiLw9PSkVatW3Lt3TyXdzz//TOXKlTl//jzjx49n5MiRHDhwIM8809LScHd3R19fn6NHj3L8+HH09fVp1qwZ6enp79U+ampqDB8+nHv37nH9+vUClXnr1q2UKlWKqVOnEhcXR1xcHAAvX76kevXq7N69m8uXL/Ptt9/So0cPTp069V5lEgRBEIoO8US2z4CbmxsNGzbk6NGjABgZGYle3g/kypUr1K5d+4PkNXjw4PdKf/LkSWrVqlXg9EFBQXTv3h1Q9OxOnz6dgwcP0qRJEzp37szIkSM5fvw4DRo0AGD9+vV069YNNTXFuWufPn2kvOzt7VmwYAE1a9YkJSUFfX39d+6/SpUqVKlSRXr9008/sW3bNnbu3MmQIUOk5fXq1ZN6nR0dHQkLC2PevHk0bdo0V54bN25ETU2N5cuXS72sK1euxNjYmNDQUL755psCtw9A+fLlAXjw4EGBymxqaoq6urrU+61UsmRJfvjhB+n10KFD2bdvH1u2bHmvYyYIgiAUHaKn9zMxZcoU6e/k5GQuXrxYiKURPrUbN25w+vRpunTpAoCGhgbt27dnxYoVAFhYWNC0aVPWrVsHQExMDCdOnMDb21vKIyIiAi8vL0qXLo2BgYF04vRmT21+UlNTGTNmDBUqVMDY2Bh9fX2uX7+ea/s6derken3t2rU88zx37hy3b9/GwMAAfX199PX1MTU15eXLl0RFRRWoXK9T9nQrA+iClvlNWVlZTJ8+ncqVK2NmZoa+vj779+8vcFsJgiAIRY/o6f1MuLm5UbduXU6cOEFOTg6LFi1i2bJlhV2sIq9ixYqcPHnyvbcbNGgQERERAFSrVo3Fixf/q30XVFBQEJmZmZQsWVJalpOTg6amJomJiZiYmODt7c3w4cNZuHAh69evp2LFilIvZ2pqKt988w3ffPMNa9euxcLCgnv37uHp6VngYQSjR4/mr7/+Ys6cOTg4OKCjo0OHDh0KtH1+N8dlZ2dTvXp1KVh/nYWFRYHK9TplcF2iRIn/VOaAgADmzZvH/PnzqVSpEnp6eowYMeK9h1wIgiAIRYcIej8j06dPZ9asWezbt4+1a9fi7++PqalpYRerSNPX1/9Xl6vnzp2Lu7u79PfHvOSdmZnJ6tWrCQgI4JtvviEtLY3o6Gjs7e3p0aMH69atY8iQIbRp04YBAwawb98+1q9fT48ePaQ8rl+/zpMnT/D398fa2hqAs2fPvlc5jh07ho+PD23btgUU42XzuuHszZOIkydPSsMO3uTi4sKmTZsoVqwYhoaG71WeN2VnZ7NgwQJsbW0pV65cgcssl8ulG9+Ujh07hpeXlzScJDs7m1u3buHk5PSfyigIgiB8vsTwhs+Im5sbM2bMAODFixfSpW3h01PO5PApZtHYvXs3iYmJ9O3bF2dnZypWrIiDgwMVK1akQ4cOBAUFAaCnp4eXlxcTJ07k2rVrdOvWTcrDxsYGuVzOwoULiY6OZufOnUybNu29yuHg4MDWrVuJjIzkwoULdOvWjezs7FzpwsLCmD17Njdv3iQwMJAtW7YwfPjwPPP09vbG3NwcLy8vjh07RkxMDEeOHGH48OH8/fffby1PQkIC8fHxUn2aNGnC6dOnCQwMRF1dvcBltrW15ejRo9y/f58nT55I2x04cIDw8HCuXbvGgAEDiI+Pf6/2EgRBEIoWEfR+ZqpVq0a9evUACAwMzNVDJXw6fn5+n2QWjaCgIJo0aZLnQyPat29PZGQk58+fBxRB5IULF2jQoAE2NjZSOgsLC4KDg9myZQsVKlTA39+fOXPmvFc55s2bh4mJCXXr1qVVq1Z4enri4uKSK93333/PuXPnqFatGtOmTSMgIABPT88889TV1eXo0aPY2NjQrl07nJyc6NOnDy9evHhnz2+TJk0oXrw4lSpVYty4cTg5OXHx4kWVaeUKUuapU6dy584dypQpIw2pmDhxIi4uLnh6euLm5oaVlRVt2rR5r/YSBEEQihYxvOEzNHToUMLCwrhz5w67d+/Gy8ursIv0VfpUM2js2rUr33UuLi4q05S1aNFC5fXrunbtSteuXVWWvZ7Wzc1N5bWPj4/KlGa2trYcOnRIZfs3Z6woyPy6b5bPysqKVatWvXO718uRXx1BMX759bTvKnPt2rW5cOGCyjJTU1PxqGRBEISvjOjp/Qy1a9dOulHnXRP/C4IgCIIgCO8mgt7PkKamJoMGDQLg4MGDXL16tZBLJAiCIAiCULSJoPcz9e233yKXywFYtGhRIZdGEARBEAShaBNB72eqWLFidO7cGYDVq1eTnJxcyCUSBEEQBEEoukTQ+xkbOnQooLhxZ+XKlYVcGkEQBEEQhKJLBL2fsRo1akgPRQgMDMxzzlRBEARBEATh3UTQ+5lT9vbevn2bffv2FXJpBEEQBEEQiiYR9H7mOnbsiKWlJSCmLxMEQRAEQfi3RND7mZPL5QwYMACAffv2cfPmzUIukSAIgiAIQtEjgt4iYMCAAWhoKB6eFxgYWMil+Qr4+cGWLf+83rJFsUwQBEEQhCJLBL1FQIkSJejQoQMAK1eu5Pnz54Vcoi+Ynx9MmQKDB8Pjx4qfwYMVyz5y4Ovj44NMJkNfX58aNWqgr6+PTCbj9u3bH3W/H0twcDDGxsaFXQxBEARBAETQW2Qob2h7/vw5q1evLuTSfKGUAS/8E+x+953ib/gkgW+zZs2Iiopi7969REVFERcXh52d3Xvnk56e/hFKJwiCIAhFlwh6i4g6derg4uICKJ7QlpOTU8glKiJSUuDUqYL9yOVgYvLPtlu2wO+///PaxESRpqD5paS8d3G1tLSwtLTE3NwcS0tLrKysUFdX58iRI9SsWRMtLS2KFy/OuHHjyMzMlLZzc3NjyJAhjBo1CnNzc5o2bQrA1atXadGiBfr6+lhaWtKjRw+ePHkibZednc2sWbNwcHBAS0sLGxsbpk+fLq0fO3Ysjo6O6OrqYm9vz8SJE8nIyJDWX7hwAXd3dwwMDDA0NKR69eqcPXuW0NBQevfuTXJyMjKZDJlMhp8YIiIIgiAUIo3CLoBQMDKZjKFDh9K7d2+uX79OSEiIFNgIb3HlCtSu/WHySkwEX1/FT0GcPNe7T5QAACAASURBVAn/P8/yf3H//n1atGiBj48Pq1ev5vr16/Tv3x9tbW2VQHLVqlUMGjSIsLAwcnJyiIuLo1GjRvTv35+5c+fy4sULxo4dS6dOnTh06BAA48eP57fffmPevHnUr1+fuLg4rl+/LuVpYGBAcHAwJUqU4NKlS/Tv3x8DAwPGjBkDgLe3N9WqVWPx4sWoq6sTGRmJpqYmdevWZf78+UyaNIkbN24AoK+v/5/bQhAEQRD+LRH0FiFdunRh9OjRPHnyhIULF4qg9wu0e/duLC0tyc7ORk1NjebNm+Po6Ii1tTWLFi1CJpNRvnx5Hjx4wNixY5k0aRJqaooLNg4ODsyePVvKa9KkSbi4uDBjxgxp2YoVK7C2tubmzZsUL16cX375hUWLFtGrVy8AypQpQ/369aX0EyZMkP62tbXl+++/Z9OmTVLQe+/ePUaPHk358uUBKFu2rJTeyMgImUyGlZXVR2gpQRAEQXg/IugtQrS1tenfvz8zZ85k9+7dREdHY29vX9jF+rxVrKjocS2IgwdhzhxFj25eTEzghx+gceOC7/s9ubu7ExAQQFRUFGXKlMHCwoLBgwdTp04dZDKZlK5evXqkpKTw999/Y2NjA4Crq6tKXufOnePw4cN59rBGRUWRlJTEq1evaPyW+vz+++/Mnz+f27dvk5KSQmZmJoaGhtL6UaNG0a9fP9asWUOTJk3o2LEjZcqUee96C4IgCMLHJoLeImbQoEHMnj2brKwsAgMDCQgIKOwifd709Qs+xGDvXtWAt2NHyMn5Z1xvYiKkp3+QIQv50dPTo0yZMqSnp1OmTBn09PTIyclRCXgBaUz368v19PRU0mRnZ9OqVStmzZqVaz/FixcnOjr6rWU5efIkXbp0YcqUKXh6emJkZMTGjRtV3nN+fn5069aNP//8k7179zJ58mQ2btxI27Zt37vugiAIgvAxiRvZihhra2vatGkDKC5Vp6amFnKJviB+fjB5suJvCwsIDIRff1X8DYp1hXAzVoUKFQgPD1e5eTE8PBwDAwNKliyZ73YuLi5cuXIFW1tbHBwcVH709PQoW7YsOjo6HDx4MM/tw8LCKF26NL6+vri6ulK2bFnu3r2bK52joyMjR45k//79tGvXjpUrVwKKB6tkZWX9x9oLgiAIwochgt4iSDl9WVJSEmvXri3k0nxhlIFvYKAi2FUGv4UU8AJ89913xMbGMnToUK5fv86OHTuYPHkyo0aNksbz5mXw4ME8ffqUrl27cvr0aaKjo9m/fz99+vQhKysLbW1txo4dy5gxY1i9ejVRUVGcPHmSoKAgQDFG+N69e2zcuJGoqCgWLFjAtm3bpPxfvHjBkCFDCA0N5e7du4SFhXHmzBmcnJwAxRjglJQUDh48yJMnT0hLS/u4DSUIgiAIbyGC3iKoYcOGVKpUCYCFCxeK6cs+ND8/xdAGpY4dC/WJbCVLlmTPnj2cPn2aKlWqMHDgQPr27atyk1leSpQoQVhYGFlZWXh6euLs7Mzw4cMxMjKSguWJEyfy/fffM2nSJJycnOjcuTOPHj0CwMvLi5EjRzJkyBCqVq1KeHg4EydOlPJXV1cnISGBnj174ujoSKdOnWjevDlT/n+u47p16zJw4EA6d+6MhYWFyk12giAIgvCpiTG9RZBy+rJvv/2WK1euEBoairu7e2EXS/iPgoODAfIcstKoUSNOnz6d77ahoaF5Li9btixbt27Ndzs1NTV8fX3xzWcattmzZ+cKVkeMGAEohi9s2LAh37wBFi9ezOLFi9+aRhAEQRA+BdHTWwS5ubnx7bffSq89PDykBwAof9zc3AqvgIIgCIIgCJ8ZEfQWQQV5spV4+pUgCIIgCMI/RNBbBLm5udGoUaN81zdq1Ej09AqCIAiCILxGBL1F1Nt6ckUvryAIgiAIgioR9BZR+fX2il5eQRAEQRCE3ETQW4Tl1aM7adKkT18QQRAEQRCEz5wIeouwvHp7nz9/XkilEQRBEARB+HyJoLeIe7O3d+bMmeJhFYIgCIIgCG8QQW8Rp+ztLVOmDACnTp3iyJEjhVwqQRAEQRCEz0uhB71ZWVkEBQXRtWtXPD096datG6tWrSI7O1tKk5OTQ3BwMB06dMDT05MRI0YQExOjkk96ejoLFizAy8uL5s2b4+vry+PHjz91dQqFn58fCxcuxNTUFFD09gpfntDQUGQyGUlJSYWyf5lMxvbt2wtl30XNnTt3kMlkREZGfvJ929raEhgYKL2Oj4+nadOm6OnpYWxs/MnLI3xcA/oOIODngAKnP370OCZ6JiQnJX/EUuXPRM+EP3f9WSj73rd3Hw3rNFSJL4SvS6EHvRs2bGDnzp0MGzaMVatWMWDAADZt2qTy6NSNGzeyZcsWhg0bxpIlSzA1NWX06NGkpaVJaQIDAzl27BiTJk1iwYIFvHjxgvHjx5OVlVUY1fqk3NzcaN68OcOGDQNg//79nD9/vpBLJfwb4eHhGBoaMnTo0MIuylfPz8+PqlWrvjOdj48Pbdq0UVlmbW1NXFwczs7OH6t4+Tpz5gy9e/eWXs+bN4+4uDgiIyO5efNmntts3boVV1dXjI2N0dPTo2rVqqxZsyZXul9//RU7Ozu0tbWpXr06x44de2tZsrKymDlzJuXLl0dHRwdTU1Nq167NypUrAXI9SfLNHx8fn1zpNDQ0sLGxYdSoUbx69SrXPoODg6lduzag+GxUbqelpUXJkiVp1aoVO3fsLFBbfu4uX7rM/r/28+3Ab9+d+CtT2akyixepPgK9WfNmyGQytmzaUkilEgpboQe9V65coV69etSpUwcrKysaNWqEq6ur9OGck5PD77//Tvfu3WnYsCF2dnaMGzeOly9fEhISAkBKSgp79uxh0KBBVK9enbJly/Ljjz8SExPDuXPnCrN6n9SQIUPQ09MDwN/fv5BLI/wbK1asYODAgVy4cIHY2NjCLo7wL6mrq2NlZYWGhsYn37eFhQW6urrS66ioKOlzsVixYnluY2pqiq+vLydOnODixYv07t2b3r1789dff0lpNm3axIgRI/D19SUiIoIGDRrQvHlz7t27l29Z/Pz8mD9/PtOmTePq1ascPnyY/v37k5iYCEBcXJz0M3/+fAwNDVWW/fLLL1JeK1euJC4ujpiYGH799VfWrFnDTz/9lGufO3fuxMvLS3rdv39/4uLiuH37Nn/88QcVKlSgd+/eTJ8+veCN+plavnQ5Xm29MDAwKOyiFBnePbz5bclvhV0MoZB8+k/kN1SqVImdO3cSGxuLtbU1t2/f5vLlywwePBhQfCg+ffoUV1dXaRu5XE6VKlW4cuUKrVu35ubNm2RmZlKjRg0pjbm5Oba2tly5coWaNWsWqCwJCQkkJCRIr1+8eAFAZGQk+vr6Bcrj2rVrKr8/tTZt2rBu3Tp+//13tm/fjo2NTaGU420+Zhvl5ORgZ2cnXb7KTEvjWXT0B99PQRja26PxWvDxLqmpqWzevJn9+/dz69YtgoODmThxorRe+X48ePAgfn5+3Lp1i0qVKrFo0SKpRzEhIYHvv/+e8PBwEhMTsbOz44cffqBTp05SPs2aNcPZ2RltbW1WrVqFpqYmffv2xdfXV0pz+/ZtvvvuO86dO4etrS0///wzAC9fviQ1NRWAy5cvM2bMGE6fPo2uri6tW7fG399f+l8ZMGAAycnJ1KlThwULFpCRkUH79u2ZPXs2mpqaAFSoUIFevXpx+/Ztdu7ciampKT///DO1atViyJAhhIaGUrp0aZYsWYKLiwsADx48wNfXl0uXLpGUlJRnHXNycpg/fz5BQUHEx8fj4ODA2LFjadu2LQBHjx6lRYsW7Nq1i0mTJnH9+nUqV67M4sWLcXR0ZO3atUyZMgVQ9DICLFmyhO7du6scs+nTp7Nq1SqVdHv27KF06dJUrFiR8PBwKleuLO1v+/btTJo0iZs3b1KzZk2Cg4OJjIxk3LhxxMXF4enpya+//ioFre+qR14qVKjAt99+i6enJ05OTtLJ0+rVq/H29mbp0qW5tnn9sxOgX79+rFy5kkOHDlG/fn0A5syZQ8+ePenatatU971797JgwQKprd60Y8cO+vXrR4sWLQAoVqwYDg4OgOL9/nqwpq2tjUwmyxXAKd9v2tra0jp3d3datGjBmTNnpPWgeH/u37+f8ePHk5qaSlZWFpqamtJ2pqamVKpUiZIlSzJ8+HA6dulI46aNc5V7/779DBk0hOtR11FTU+Pypcs0cWvCoCGDmDxlMgCjR43m+fPnLPltCU+fPuXHsT9y6sQpkpKSKG1bmuEjh9O2/T/HadfOXQTMDuBOzB10dHRwruRM8NpgqaPiTSEHQpjkO4kH9x/g4upCp86dGDF0BDeib2BkZER2djbbt25n0ZJFvHr5T4/375t/Z9mSZUTdjkJXT5f6DeozdfpULCwsAMVQQIBjR48x86eZRN2OokLFCsz9ZS5OFZwAeBj3EF9fXy5eukhyUnKe9Wnbui0VKlRAS1uL9WvWoynXpKdPT0aPHS2liY6KZtTwUUScj8CmtA0/zVCcpGSkZ/Dq5Svu3btHzWo1CQoOImh5EBHnIrCzt2N2wGxcayi+8zeu38gk30ksWrKIKROn8ODBAzyaeLAgcAG7d+7m51k/8/zZc9p3bM+0GdNQV1enbeu2xN6L5cexP/Lj2B8BiE+IB8CjiQdjfxjLzes3KW1bOs+2z0jPIDY6lrT0tFzrNO4/wvT//3748CGZUVF55vG1u3//PvDpYqGUlJQCpSv0oLdr166kpqbSq1cv1NTUyM7Opm/fvjRurPggevr0KQAmJiYq25mYmPDw4UMpzesfbEqmpqbS9gWxa9cu6QvsdW975G9+3vxy/NRycnLe+sX4OfgYbWRnZ8fmzZul1y+iooidOvWD76cgrCdNQuf/bzAsiJ07d1KqVCk0NDRo3rw5c+bMoX379lIwpexRGz16NN9//z1mZmYEBgbSrl07/vjjDzQ0NHj06BElSpRg9uzZ6OnpERYWRv/+/ZHJZFJgnJaWxpo1a/D29mb58uVcunSJKVOmULJkSWrVqkV2djbdunXD2NiYoKAgUlNTGT1a8UX2999/c+3aNV6+fEm7du1wdnZm5cqVJCYm8tNPP/H48WNpRpGkpCRCQ0PR0tJi0aJFxMbG8uOPP2JhYSG9NzMyMliwYAHfffcdq1evZv369fTt25fKlSvTunVrevfuzaJFi+jVqxebNm1CJpPx6NEjypcvT8+ePfOt46+//srhw4cZNWoU1tbWRERE0LdvX1JTU6levbrUluPHj2fIkCGYmJjg7++Pj48PQUFBVKxYEW9vb06cOCGNj9XX18/1Ad6sWTMp8FLOkW1kZMTt27cBiI6ORlNTU9rfxIkTGT58ONra2owfP54OHTogl8uZNGkSaWlpjB49mqlTp9KrV68C1SMvGRkZ0sl7UFAQkydPRk9Pj++//x5tbe13fgnl5ORw5swZbty4Qf/+/bl27RoZGRlERETQqVMnle2rVavGoUOH6NKlS5556enpsXfvXtzc3HJ9hr/pwYMHZGVl5Vs+5XsP4O7du4SEhPC///1PJf3x48cxMTFBJpNx7do10tLSePr0aa48a9eujaGhIVu3bMWxjGOufVmXsCYlJYWQvSE4OTmxZ+cejI2NOXLoCLG9FCcRRw4foVu3bsRGx/Lo0SNsStnQ4ecO0ntyyKAhaGtq4+zszJMnTxjYbyDDhg3Dzc2NtLQ0IiIi+Dvmb5VeeaX4+Hj69OxDu3btaO/fnmvXrjF1suJz7P6d+zwzeMaNGzdITk7GwsSC2Oh/rgo9fPCQPr37ULp0aRITE5k3bx4D+gyQes0fxynudZn04ySVzxHvzt4qnyNv/o+9Xh+AVy9esXH9Rry9vQkKCpI+R+xs7KTPkR7deqh8jkzyVfyPPHn4hNjoWOIexAEwzW8aw4cPZ9SIUSxevJj+vfuzdetWNDQ0ePr4KWlpaQT+EsiUKVNITU1lzJgxeHfyRl9fn4A5Ady/f5+xY8dSxq4M33zzDdOmTKNbt260bdtWGnr0ehuZmpqyZ+ce/ve//+X9ZgT8f/DPde8QQBkdHaba2QGK4ZlRK1bkm4dQ+LHQmwo96D18+DAHDhxgwoQJ2Nracvv2bQIDAzEzM6NZs2ZSOuUX/+vyWva6nJycd6Z5XatWrahbt670+sWLF4wYMYIjR468V09v9+7dWbt2LU5OTgXe94c0depUduzYgYaGBrt27cr3kmZh+ZhtpOzp1dLSAuBpVhaFNUjA1tYW0/eo39ChQ/Hx8cHOzo7MzExevXrFw4cPcXd3B5BuzJw8eTIdOnQAoF69epQrV46bN2/Svn17nJycVE7SmjZtyqVLl4iIiKBjx44A6OrqUrlyZebOnQuAp6cnu3btIjo6Gh8fHw4ePMidO3e4evUqJUuWBBQ9dG3btqVUqVI4OTmxcuVKMjMz2bhxo9RTZWlpSceOHVmwYAGWlpYYGxtjZmbGihUrUFdXB+DYsWPcuHFDOu6amprSjacAVatW5Y8//qBhw4bSuGZTU1M8PDwwMzPD0tISOzs7ihUrJo0tfbOOqampbNiwgT///JNatWpJ7XD37l0OHjxI9+7dpbacOXOm1L4aGhq0b99eytfGxoaLFy/SoEGDtx43S0tLkpOTVdLdvXsXAHt7e5ycnKT9zZgxQ9pfVFQUkydP5tKlS9j9/5foyZMnuX79Ok5OTgWqR140NTUxMzMDwMXFBTMzM4yMjN5Zj+TkZBwdHXn16hXq6urMmzePnj17AoorbllZWbi4uKj8z5YvX57z58/n+3+8cOFCunfvTrNmzXBycqJWrVr873//45tvvsmV9ty5c6irq+eb18SJE1FXV5f+N5o3b86sWbOkqwaguLejbdu2Uh66urqYmprmyjPtRRo2NjY8TXyKtb11nvtzruRM1J0ovmn5DdeuX2PQ4EEE/ByAiYUJaWlp3Lt3j5ZeLbG2t8ba3prqtf85CanTsA4RFyI4dfYUzVs3J/F5IllZWXTr1Q1ra8X+3L9xz3O/AGvWraG0bWnmLZqHTCajgUcDHj15xKIFiyhpWxIjIyMuX7uMuro6VVyrqHzPDR4xWCWv4tbFad60OabFTNHT1+PeA8UJ2FjfsbRpqwgIq9aoikslFy5evYhXGy8sS1pSrFgxLEtaIteS56oPgJaOFs6VnJk6UxGM13Orx/Yd27l+8zodunYg9HAod+7c4UzEGUqULAGAgYkB3Tp1w9zSHGt7a3I0FNNrDhs5jK7dFVcQLIpb0KheIzLJxM7eDlMLUzIzM/kl8Bds7WwBCDsRxpbNW7h87TJ6+orPn127d3Hj1g36DuyLNdbIteSUtClJtZrVcrVvyVIlSX2Zmu+xz0jPYNyccfn29LJiB6DotDOrVCnf4/g1u3XrFr/++usni4VSUlIK1EFZ6EHvkiVL6Nq1Kx4eHoDiS+Lhw4esX7+eZs2aSTMSPH36VPogB0hMTJR6DkxNTcnIyOD58+cqvb2JiYlUrFixwGUxMzNT2YfyslnVqlUxNDR8r3o5OTlJl2M/tVmzZrFz504yMzMJCQlhzpw5hVKOd/kYbaQcAqCjowOA3NmZbzZs+KD7KCijMmXQzOfS5Ztu3LjB2bNn2b59O9ra2lIAtn79eqk3Qlknd3d3KdDU09OjXLlyxMTEoKenR1ZWFv7+/mzatIn79+/z6tUrXr16haGhobSNuro6lStXVrmsWrJkSRITE9HT0yMmJgYbGxscHf/pAVMGatra2ujp6REdHU2VKlVUTqgaN25MdnY2f//9N/b29mhoaODs7Kzyv2Ntbc2lS5ekfctkMlxcXKTXyuCvevXq0jJbW1tA8aFmb29PVlYWK1as4OjRo8TFxeWq49WrV3n58iWtW7dWaeP09HSqVauGnp6e1Ja1atXKte/U1FTMzMyQy+Woqanle/lZSUNDA3V1dZV0yt47HR2dfPdnbW2Nrq6uys1upUqVIiIiosD1yItMJpMCQW1tbdTV1dHQ0HhnPXR0dIiMjCQlJYWDBw8yfvx4nJyccHNzk+qjq6urko+mpuZb28jV1ZWrV69y7tw5jh8/ztGjR+nYsSM+Pj4sX75cJa3yRDW/vObNm0eTJk3Iysri9u3bjBo1ioEDB7Jx40ZAccK7b98+lRMxdXV1NDU1c+WZnZNNTk4OaupqaGlr5bm/Bg0bcPLESYaPGs6pU6eYOGUie/7cw/nz50lOTqZYsWI4V1Ycu6ysLOYFzGPb79uIi4sj/VU6r169wsDAAC1tLVxcXWjk1giPBh54NPHAvbE7Xm28MDbJezaNqKgoataqibaOtrSsTr06LFqwCC0tLbS0tcjMykRLS0slDcDFyIv4z/Dn0sVLJCUmSUO9Hj1+RHnz8sjlcgDq1q8r1d2quBUOZR2IiY5BS1tL+h8LPRJKfHx8rvoAqKmpUaFiBZX2K16iOImJiWhpaxETHUMp61LYlbGT1tetr+hU0pRroqWtJR3zKtWqSPnYlFYMyUt+loyWthaampro6upSzqmclI9VcStKly6NqbmptMzSypKnT59K+Shveszr+Oro6pCenp7vsZfJZFjbW5Mpy8y1LktTE2UobGlpSen3uJr3NVFONPCpYqFnz54VKF2hB72vXr1CTU31fjo1NTXpAQvFixfH1NSUs2fPUrZsWUBx+e7ChQt8+63ijlVHR0c0NDQ4e/as9OWckJDAnTt3GDBgwCeszeehXLly0iXvpUuX8uOPP0onD18bTT09zCtXLuxivFNQUBCZmZlSzyoovsQ1NTVVTvDyo+zpCQgIYN68ecyfP59KlSqhp6fHiBEjpHF8Sq/3jim3V3455vVwkzevmLztKsrry9+2n7zSKLfNa5lyuwULFrB+/XoCAgJwdXXNVUdluj///FOlPeGfwOpt+/6Y0xm9ub+3tc/71ONDUFNTk8bbVq1alWvXrjFz5kzc3NwwNzdHXV2d+Ph4lW0ePXqEpaXlO/OtUaMGNWrUYOTIkaxdu5YePXrg6+srnWgUhJWVlVS+cuXK8fz5c7p27cpPP/2Eg4MDp0+fJj09XRqD/DZZWVnExsZSs3b+93vUa1iPNavXcPniZdRkapR3Kk+9+vUIOx5GUlIS9RrUk9Iu+mURixctZsasGVSoWAE9PT3GjxkvvSfV1dXZtnsbp06e4vDBwyxbvIyf/H4i5EhInuNKC/KAITMzM9LS0khPT5cC2dTUVNp5tcPdw52lQUsxNzfn79i/ae/Vnoz0jHfmqfwfWBy4mPXr1zPdfzqVq1bOVR8lTY3/9jmSVz7KNDnZ/2yvoakaqigD2vz2/S5JiUmYm5sXKK3wZSn02Rvq1KnD2rVrOXHiBPHx8Rw7dowtW7ZIH1wymYwOHTqwbt06jh07RkxMDP7+/mhra9OkSRNAMdauRYsWLF68mHPnznHr1i2mT5+OnZ1dvuPevnTjxo0DFL1jr8/ZKXx+MjMzWb16NQEBAURGRhIeHi79T5QuXZp169appD958qT0d2JiIjdv3qR8+fKAYviAl5cX3bt3p0qVKtjb23Pr1q33Kk+FChW4d+8eDx48kJadOHEiV5rIyEiVm4jCwsJQU1NT6SH+GMLDw2nUqBFdunTJs44VKlRAS0uLe/fu4eDgoPKjvLRcEHK5vEBTHhY03fv6UPX4t3JycqQpweRyOdWrV+fAgQMqaQ4cOKAyJKwgKlSoAKDy3vk3lENmlFd3duzYQcuWLaXlb7N+3XqePXtGy1Yt801Tt15dUp6nsDhwMfUa1EMmk1GvQT3CjoURdixM6rUEOBF+ghYtW9C5a2cqVa6ErZ0t0VGqN9DKZDJq16nN+AnjOXriKHK5nN07d+e573Lly3H2zFmVZWdOn1F5Xamy4rL6jWs3pGW3bt4i4UkCk6dNpm69ujiWc8x3vvqzp//JPykxiajbUZR1VHQsnTp5ikaNGtGhU4d86/Mu5cqX4+/Yv4mLi/unDqfOvGWLDyu//8uXL18SEx1D5Sqff2eI8OEVek/vsGHDWLFiBb/88guJiYmYm5vTqlUraSwZQJcuXXj16hXz58/n+fPnODk58fPPP6vcADB48GDU1dWZOnUqr169wsXFhXHjxhXoA/BL5OrqSpMmTQgJCeGXX35h1KhR77y8KRSO3bt3k5iYSN++fTEyMiI1NRU1NTWcnJzo0KEDQUFBDBkyREo/depUaXyrr68v5ubm0s0aDg4O/PHHH4SHh2NiYsLcuXOJj49/rzFVTZo0oVy5cvTs2ZOAgACePXumMrMDgLe3N5MnT6ZXr174+fnx+PFjhg4dSo8ePd7Z8/df2dvb8/vvv3Py5ElKlCiRq44GBgb88MMPjBw5kuzsbOrXr8+zZ88IDw9HX19fuknsXWxtbYmJiSEyMpJSpUopLu3m0cNqa2vLX3/9xY0bN6Txsx/Ch6pHQcycORNXV1fKlClDeno6e/bsYfXq1Sxe/M88p6NGjaJHjx64urpSp04dli1bxr179xg4cGC++Xbo0IF69epRt25drKysiImJYfz48Tg6OkonagWVlJREfHw82dnZ3Lp1i6lTp+Lo6Cgd9507d+Y5i0RaWhrx8fFkZmZy//59tm7dyrx582jfvj31G+TfK2xkZESlypXYvHEzM39WPPCnbr26+HT3ISMjQ2Vbe3t7du7YyamTpzA2NubXhb/y8OFDHMspTgDPnjnLkdAjeDT2wNzCnHNnzvHkyRNp/Zt69+tN4IJAfMf64tPXh8iISDasVR2mZW5hTpWqVThx4gSVqigC4FKlSiGXy1m2eBl9+vXh6tWrzJmV9/C22TNnY2pqikUxC36a8hOmZqbSSYCdnR07tu3gzOkzWBSzyFWfgnDzcKOsY1kG9RvEtJnTeP78OT9NyT3F3MdiY2NDeFg47Tq2Q0uuhZm5Yuji2dNn0dLSokatGu/IZ2EVdgAAIABJREFUQfgSFXrQq6ury5AhQ1S+1N+knKRcOVF5XuRyOcOGDZMe0CAo7kwPCQkhISGBoKAg0TafqaCgIJo0aZJnsNS+fXtmzJih8rARf39/hg8fzq1bt6hSpQo7d+6ULm9OnDiRmJgYPD090dXV5dtvv6VNmzYkJxf86Utqamps27aNvn37UrNmTWxtbVmwYIHKjaW6urr89ddfDB8+nBo1aqCrq0v79u2lm+M+prFjx3L58mXatGmTbx2nTZtGsWLFmDlzJtHR0RgbG+Pi4sKPP/5Y4P20b9+erVu34u7uTlJSEitXrszzM6h///6Ehobi6upKSkoKhw8flsYh/1cfoh4FkZqaynfffcfff/+Njo4O5cuXZ+3atXTu3FlK07lzZxISEpg6dar04A3l9Gz58fT0ZMOGDcycOZPk5GSsrKzw8PDAz8/vvecwVj5wQyaTYWVlRcOGDZkxYwYaGhpERUVx+/ZtPD09c23322+/8dtvvyGXyzEzM6N69eoEBwcX6IpEg4YNuBB5QQpwjU2MKVe+HPFx8ZQr/88Y09HjRnP37l06eHVAR0eHXn160fJ/LaVxhgYGBpw4foIli5bw/PlzrG2smTZzGk09m+a5X2tra1atX4XvWF+CfgvCxdWFiX4TGTJI9XuyV59ebFi7QXo4hbmFOYFLA5nmN41li5dRuWplps6YSreO3XLtY/K0yYwbPY7oqGicKzmzfvN66XNk5A8juXHtBl06dEFXVzdXfQpCTU2NNRv+j727j6+5/v84/ji7YrMNQ4ixYWPJRRtCOJsulKS+FI35UgmlXMxlRGsiub6eXEVWoYxQfcvVNF98ZZqW5ppIvpS5mJlttv3+8N357djsyrZz2PP+vZ2bnc/n/fl8Xud9Tvu+9jrvz/u9krfffJsnjE9Qq3YtJk+dzIsvvJjvc9yNd8a9w9C3h+L7sC/JyclcSrw1N/RXX37Fi91fzHHWDLn/GbZv35734KFSKjExkU6dOnHlypV838i2f/9+/Pz8iI6OttiNbJkyMjJ49NFH+emnn3B3d+f48ePZxhBaQnH20e03st2LEhMTiYuLw8fHR9X5HKh/8lba+mjGjBls2bKFb7/9Nl/tE64lcPjQYdzruN/xZiZrs/PHnTz3zHOcOnuK8hVu/YF848YNmjdtztIVS2nxaP7mo8+P5BvJnDlx5p7qn/z4+6+/aeHbgu1R2+84Ry9ASnIK0b9H53wj27HTXB+/AID455+ndqtWxRbvvSw2NpaxY8eWWC509epVypcvz6ZNm3L9nWfxMb1SfAwGA++88w4AZ86c4fPPP7dwRCIiRa9mzZqm33WlSdmyZVm4eKHZokpyZ7///jvTZk7LNeGV+5vFhzdI8Xr++edp0KABhw4d4qOPPqJXr17ZZssQEbmXZV2Nr7TJOouE5M6vmR9+zUrnze1yi7Kf+5yNjQ2jRo0Cbi0KsWHDBgtHJCIiBdWmXRsuJV4yDW0QkYJT0lsK9Ojx/6sAffjhh/maA1JERETkfqKktxRwcHBg2LBhAOzdu5fIyEjLBiQiIiJSwpT0lhJ9+/Y1LbE8efJkC0cjIiIiUrKU9JYS5cqVM83T+8MPPxAdHW3hiERERERKjpLeUuStt94yzV/30UcfWTgaERERkZKjKctKETc3N/r378+MGTP46quvOHLkSL5WJbrXpaenc/VG/lcSKgquZV01NZyIiIgVUdJbygQHBzN37lxSU1OZOnUqixcvtnRIxe7qjatE7I/A0aFkVmlLSkmii28XKjhVKLJznjp1Ck9PT37++WeaNm1aZOctSZGRkQQEBHDp0iUqVCiavjEYDKxbt44XXnihSM4nIiL3L5WiSpmePXuSmpoKwJIlSzAYDNke/v7+lg2yGDg6OOJcxrlEHgVNrm/vf2dnZ5o3b46zszMGg4E+ffoUT6cAy5cvN7t29erV6datGydPniy2axalc+fO8cwzzxT7dXL676RNmzb5OvbUqVMYDAZiYmKKOUoREcmNKr2lTEhICAEBAXm2kZJz7tw508+rV69m/PjxrF69Gm9vb5ycnHB0dOTSpUvFdn1XV1cOHz5MRkYGhw4don///nTu3JmYmBhsbW3N2mZkZJCWloadnXX86qhWrVqJXeuTTz7h6aefNj13cHAosWtnSklJsch1RUTuB6r0ljL+/v4YjcY77jcajfdlpdeaVatWzfQoX748BoOBypUrU7VqVdO2TCdOnCAgIAAnJyeaNGnC7t27zc61a9cu2rVrh6OjI+7u7gwaNIjExMRcr28wGKhWrRrVq1cnICCA9957j19//ZVjx44RGRmJwWDg+++/p1mzZpQpU4aoqCiSk5MZNGgQDzzwAGXLlqVNmzb89NNPZuf99ttv8fb2xtHRkYCAAE6dOmW2PyQkJNtQjVmzZuHh4WG2bdmyZTRs2JAyZcpQvXp1goODzWJfv3498P8V1YiIiFz7aPHixbi7u+Pk5MQ//vEPZsyYka/hFhUqVDB7r9zc3LLFkLXt8uXLAfD09ATgkUceMfsmxd/fnyFDhpgd98ILL5hV9j08PPjggw/o06cP5cuX5/XXXwcK9z6LiJR2SnpLodwquaryWrexY8cyfPhwYmJi8Pb2JjAwkJs3bwIQGxtLhw4d6NKlC7/88gurV69m586dvPXWWwW6hqPjreEZmcNgAEaOHMmHH35IXFwcjRs3ZuTIkaxdu5YVK1awf/9+6tWrR4cOHYiPjwfgzJkzdOnShY4dOxITE0Pfvn0ZPXp0gV9vWFgYAwcOpF+/fsTGxrJhwwbq1q2b6zG59dG///1vBgwYwODBg4mJieHJJ59k4sSJBY6rIPbu3QvAli1bOHfuHBEREQU6furUqTz88MNER0czbty4InufRURKG+v4jlJKVGa1d8eOHWbbVeW1fsOHD+fZZ58F4P3336dhw4YcO3aMBg0aMHXqVHr06GGqHnp5eTFnzhyMRiNhYWGULVs2z/P/8ccfTJ06lZo1a+Lt7c3ff/8NQGhoKE8++SQAiYmJhIWFsXz5ctN42sWLF7N582aWLl3KiBEjCAsLo06dOsycORODwUD9+vWJjY0t8FR5H3zwAcOGDWPw4MGmbQ899BBxcXGF6qO5c+fyzDPPMHz4cAC8vb3ZtWsXmzZtyjOWwMBAs+Ee4eHh+bqBrkqVKgBUqlSpUMMx2rdvb4oX4J///Oddv88iIqWRKr2lVE4VXVV5rV/jxo1NP1evXh2ACxcuABAdHc3y5ctxdnY2PTp06EB6enquN6ZduXIFZ2dnypUrh7u7OykpKURERJiNHW3WrJnp5+PHj5Oamspjjz1m2mZvb0+LFi1MyWhcXBwtW7bEYDCY2rRq1apAr/XChQv8+eefPP744wU6Lrc+Onz4MC1atDBrf/vzO5k5cyYxMTGmR+YfAcUta99D4d9nEZHSTpXeUur2aq+trS1NmjSxcFSSF3t7e9PPmQllenq66d/+/fubVt7LqlatWnc8p4uLC/v378fGxoaqVauaFjDJKuu2jIwMs+tn3Z65LbNNbmxsbLK1yzqkInOYRUHl1kdZY8wad35Uq1aNevXqZdtuMBhyfR13ktfrz3T7+1HY91lEpLRTpbcUy1rZTUtLY+rUqZYLRu6ar68vBw8epF69etkeud3xb2NjQ7169ahTp06OCe/tMs+3c+dO07bU1FT27duHj48PcGsIwp49e8yOu/15lSpV+O9//2uW+GWd1svFxQUPDw+2bt2aZ0z51aBBA9MY20z79u27q3NWqVLFbAaOo0ePcv36ddPzzL5PS0vL9bi0tDR+/fXXPK9X2PdZRKS0U9JbimVWeytVqgTA7NmzOX/+vIWjKh5JKUlcS75WIo+klCSLvMZRo0axe/duBg4cSExMDEePHmXDhg28/fbbRXqdcuXK8cYbbzBixAj+9a9/8dtvv/H6669z/fp1XnvtNQAGDBjA8ePHCQ4O5vDhw3z++eem2Qwy+fv789dffzFlyhSOHz/O/Pnz+e6778zahISEMH36dObMmcPRo0fZv38/YWFhhY797bff5ttvv2XGjBkcPXqUjz/+mO+++y5b9bcg2rdvz7x589i/fz/79u1jwIABZtXmBx54AEdHR/71r39x/vx5rly5Yjrum2++4ZtvvuHQoUO8+eabXL58Oc/rldT7LCJyv9HwhlIuJCSEY8eOmZKWSZMmMXv2bEuHVaRcy7rSxbdLiV+zpDVu3JgdO3YwduxY2rZtS0ZGBnXr1qV79+5Ffq3JkyeTnp5Or169SEhIoFmzZnz//fdUrFgRuPU1+9q1axk6dCgLFiygRYsWTJo0iVdffdV0Dh8fHxYsWMCkSZOYMGECXbt2Zfjw4SxatMjUpnfv3ty4cYOZM2cyfPhwKleuzPPPP1/oGy4fe+wxFi5cyPvvv8+7775Lhw4dGDp0KPPmzSt0X0yfPp1XXnmFdu3a8eCDDzJ79myio6NN++3s7JgzZw6hoaGMHz+etm3bEhkZyauvvsqBAwf45z//iZ2dHUOHDs1zDm0o2fdZROR+Yti+fXv+BrSVQomJiXTq1IkrV67g6pq/JGb//v34+fkRHR2Nr69vMUdYdF5++WVWr16Ng4MDR48eLdaxgcXZR0lJt6qshR0Pag0SExOJi4vDx8cnX8MNSpui7p/XX3+dQ4cOERUVVQTRWQd9hnKXcC2Bw4cO417HnTJly1g6HKuTfCOZMyfOlNr+SUlOIfr3aG4abmbbl3bsNNfHLwAg/vnnqV3AG3RLi9jYWMaOHVtiudDVq1cpX748mzZtyvV3noY3CHBraicbGxtSUlKYMGGCpcMRKTbTpk3jwIEDHDt2jLlz57JixQp69+5t6bBERKSYKekVAOrXr29aCeqTTz7h6NGjlg1IpJjs3buXJ598kkaNGrFw4ULmzJlD3759LR2WiIgUMyW9YjJ+/Hjs7e1JS0vTnL1y31qzZg0XLlwgKSmJgwcPMmDAAEuHJCIiJUBJr5jUrl2b/v37A/DFF18QGxtr4YhEREREioaSXjEzduxYHB0dycjIYNy4cZYOR0RERKRIKOkVM9WqVTPN9/n1119nm8hfRERE5F6kpFeyGTlypGmKtnfffdfC0YiIiIjcPSW9kk2lSpUIDg4GYPPmzURGRlo2IBEREZG7pBXZJEdDhw5l7ty5XLx4kbFjx7Jz5867WqrVktLT07l69WqJXtPV1RUbG/1NKSIiYi2U9EqOXF1dGT16NCNGjGDXrl189913dOzY0dJhFcrVq1eJiIgosVXakpKS6NKlCxUqVCiyc546dQpPT09+/vlnmjZtWmTnvZeEhISwfv16/v3vf5f4tSMjIwkICODSpUtF+r6KiEjJUSlK7mjgwIFUr14duDW2Nz093cIRFZ6joyPOzs4l8ihocm0wGMwezs7ONG/eHGdnZwwGg2nRkOKwfPlys2tXr16dbt26cfLkySI5v4eHB7Nmzcp3+0mTJmFra8vkyZOL5PqSs+XLl+creb/985H5WLJkSb6uExISUmr/SBMR66OkV+7I0dHRdCPbzz//TEREhIUjuj+dO3fO9Jg1axaurq589913HD9+nHPnzjF79uxivb6rqyvnzp3jzz//5PPPPycmJobOnTuTlpZWrNfNySeffMLIkSNZtmxZiV9bcpb5+cj66NmzZ4nGkJGRwc2bN0v0miJy/1HSK7nq27cvHh4eAIwbN84iidD9rlq1aqZH+fLlMRgMVK5cmapVq5q2ZTpx4gQBAQE4OTnRpEkTdu/ebXauXbt20a5dOxwdHXF3d2fQoEEkJibmen2DwUC1atWoXr06AQEBvPfee/z6668cO3YMgLCwMOrWrYuDgwP169dn5cqVZseHhIRQq1YtypQpw4MPPsigQYMA8Pf35/fff2fo0KGmCmFuduzYQVJSEqGhoSQmJvLjjz/m2G7p0qU8++yzVKlShZdeeonLly+b9v300088+eSTVK5cmfLly2M0Gtm/f3+217tkyRL+8Y9/4OTkhJeXFxs2bDBr8+233+Lt7Y2joyMBAQGcOnUqWxxr166lYcOGlClTBg8PD6ZPn26238PDg0mTJvHqq6/i4uJCrVq1WLRokWn/qVOnMBgMrFmzhrZt2+Lo6Ejz5s05cuQIP/30E82aNcPZ2Zmnn36av/76y+zcn3zyCT4+PpQtW5YGDRqwYMECs/M6Ozuzbds2nnnmmWyflcjISF555RWuXLliel9yW4Ex8/OR9eHo6JhjtXj9+vWm93n58uW8//77HDhwwHSd5cuXm153TEyM6bjLly9jMBhMN81GRkZiMBj4/vvvadasGWXKlCEqKoqMjAymTJlCnTp1cHR0pEmTJnz11Vd3jF1EJCslvZIrBwcH3nvvPQAOHTpEeHi4hSMq3caOHcvw4cOJiYnB29ubwMBAUwUsNjaWDh060KVLF3755RdWr17Nzp07eeuttwp0jczhGampqaxbt47BgwczbNgwfv31V/r3788rr7zC9u3bAfjqq6+YOXMmH3/8MUePHmX9+vU0atQIgIiICGrWrEloaKipQpibpUuXEhgYiL29PYGBgSxdujRbm2PHjhEREcGMGTNYt24dMTExDBw40LQ/ISGB3r17ExUVxZ49e/Dy8qJjx44kJCSYnef999+nW7du/PLLL3Ts2JGePXsSHx8PwJkzZ+jSpQsdO3YkJiaGvn37Mnr0aLPjo6Oj6datGy+//DKxsbGEhIQwbtw4li9fbtZu+vTpNGvWjJ9//pk333yTN954g0OHDpm1ee+993j33XfZv38/dnZ2BAYGMnLkSGbPnk1UVBTHjx9n/PjxpvaLFy9m7NixTJw4kbi4OCZNmsS4ceNYsWKF2XnDwsIYPHhwts9K69atTd8oZL4vw4cPz/W9KYzu3bszbNgwGjZsaLpO9+7dC3SOkSNH8uGHHxIXF0fjxo159913+eSTTwgLC+PgwYMMHTqUoKAgduzYUeTxi8j9RzeySZ6CgoL46KOPOHToECEhIQQGBuLg4GDpsEql4cOH8+yzzwK3EreGDRty7NgxGjRowNSpU+nRowdDhgwBwMvLizlz5mA0GgkLC6Ns2bJ5nv+PP/5g6tSp1KxZE29vb/r370+fPn148803AQgODmbPnj1MmzaNgIAATp8+TbVq1XjiiSewt7enVq1atGjRAgA3NzdsbW1xcXGhWrVquV736tWrrF27ll27dgG3PnOPPfYYc+fONc0ZDXDjxg0WLVrE1atX8fHxYe7cuTz77LNMnz6datWq0b59e7Pzfvzxx1SsWJEdO3bQqVMn0/Y+ffoQGBgI3BpHPHfuXPbu3cvTTz9NWFgYderUYebMmRgMBurXr09sbCwfffSR6fgZM2bw+OOPm1Yt9Pb25rfffmPq1KlmY7A7duxo6rtRo0Yxc+ZMIiMjadCgganN8OHD6dChAwCDBw8mMDCQrVu38thjjwHw2muvmSXTEyZMYPr06XTp0gUAT09PfvvtNz7++GN69+5tahcUFMTTTz9NuXLlsn1WMr9RyOt9Abhy5QrOzs6m587Ozvz3v//N87jMcfR2dnb5uk5OQkNDefLJJwFITExkxowZbNu2jVatWgFQp04ddu7cyccff4zRaCzUNUSk9FClV/JkZ2dHaGgocOur05wqcFIyGjdubPo58ybDCxcuALeqj8uXLze7qa5Dhw6kp6fnemNaZlJTrlw53N3dSUlJISIiAgcHB+Li4kzJV6bHHnuMuLg4AF566SWSkpKoU6cOr7/+OuvWrSvU2MvPP/+cOnXq0KRJEwCaNm1KnTp1WLVqlVm7WrVqUaNGDdPzVq1akZ6ezuHDh019MWDAALy9vSlfvjzly5fn2rVrnD592uw8WfuxXLlyuLi4mPoxLi6Oli1bmg3HyEyyMt2pX44ePWo2BCjrdTKTzMzr5NSmatWqAKZqeea2zGP++usvzpw5w2uvvWb2Pn/wwQccP37c7Lz16tUz/Xz7Z6UgXFxciImJMT0y/zApCc2aNTP9/Ntvv3Hjxg2efPJJs9f+6aefZnvtIiI5UaVX8qVr1640bdqUmJgYPvjgA/r06VNiU4DJ/7O3tzf9nJmUZc6qkZ6eTv/+/U1jarOqVavWHc/p4uLC/v37sbGxoWrVqpQrV85s/+1jcTMyMkzb3N3dOXz4MJs3b2bLli28+eabTJ06lR07dpjFmpdly5Zx8OBB7Oz+/1dSeno6S5cupV+/fnc8LjOOzH/79OnDX3/9xaxZs6hduzZlypShVatWpKSkmB13e2wGg8HUjxkZGXnGm7UPsm67XW7XyalN5jlv35b1PYZbQxweffRRs/PY2tqaPc/al7d/VgrCxsbGLIHOuv3215yampqv84F5f93puKyfxczYv/nmG7M/fADKlCmT53VFRJT0Sr60b9/edOPJn3/+iZOTU7Y2RqNRq7dZkK+vLwcPHswxQcnNnZIaAB8fH3bu3Mk///lP07Zdu3bh4+Njeu7o6Ejnzp3p3LkzAwcOpEGDBsTGxuLr64uDg0OeNz/Gxsayb98+IiMjcXNzM22/fPky7dq149dff+Xhhx8G4PTp02Zjg3fv3o2NjQ3e3t4AREVFsWDBAtOc0mfOnOHvv/8uUH889NBDrF+/3mzbnj17srXZuXOn2bZdu3bh7e2dLfksSlWrVqVGjRqcOHHirmZQyM/7kpcqVaqQkJBAYmKiKTnNenPana5TpUoV4NasJY888kiOx+XkoYceokyZMpw+fVpDGUSkUJT0Sr6EhIQQEBCQZxtrlZSUdF9eK6tRo0bRsmVLBg4cyOuvv065cuWIi4tj8+bNzJ07t1DnHDFiBN26dcPX15fHH3+cjRs3EhERwZYtW4Bbd+inpaXx6KOP4uTkxMqVK3F0dKR27drArRkMfvzxR15++WXKlClD5cqVs11j6dKltGjRgnbt2mXb16pVK5YuXcrMmTMBKFu2LP369aNv377Ex8czaNAgunXrZhozWq9ePVauXEmzZs24evUqI0aMKPA3EgMGDGD69OkEBwfTv39/07CRrIYNG0bz5s2ZMGEC3bt3Z/fu3cybN89sFoXiEhISwqBBg3B1deWZZ54hOTmZffv2cenSJdPy4Xnx8PDg2rVrbN26lSZNmuDk5JTjH7K5yXzPx4wZw9tvv83evXuz9ZOHhwcnT54kJiaGmjVr4uLigqOjIy1btmTy5Ml4eHjw999/m6ZGzI2LiwvDhw9n6NChpKen06ZNG65evcquXbtwdnY2G88sIpITJb2SL/7+/hiNxjveJW00GvH39y/ZoPLJ1dXVdNNPSV6zpDVu3JgdO3YwduxY2rZtS0ZGBnXr1i3wHfNZvfDCC8yePZupU6cyaNAgPD09+eSTT0zvdYUKFZg8eTLBwcGkpaXRqFEjNm7cSKVKlYBbNyL179+funXrkpycnO3r8JSUFMLDwxk1alSO1+/atSsffvih6SayevXq0blzZ4YMGUJCQgIdO3Y0SzSXLVtGv379eOSRR6hVqxaTJk0q8MwEtWrVYu3atQwdOpQFCxbQokUL09RjmXx9fVmzZg3jx49nwoQJVK9endDQ0GJdSCRT3759cXJyYurUqYwcOZJy5crRqFEj0w2M+dG6dWsGDBhA9+7duXjxIu+9916B/2h1c3MjPDycESNGsGjRIp544glCQkLMhqN07dqViIgIAgICuHz5Mp988gl9+vRh2bJlvPrqqzRr1oz69eszZcoUnnrqqTyvOWHCBB544AE+/PBDTpw4QYUKFfD19WXMmDEFil1ESifD9u3b8x7AVkolJibSqVMnrly5ku8kZv/+/fj5+REdHY2vr28xR1iyMpdizcn27dvznfQWZx9lVlnv5fHGiYmJxMXF4ePjk218rah/8kN9lLuEawkcPnQY9zrulCmr8cC3S76RzJkTZ0pt/6QkpxD9ezQ3Ddlvyk07dprr42/9oR3//PPUvu0mV7klNjaWsWPHllgudPXqVcqXL8+mTZty/Z2n2Rsk3zKrvbez5iqviIiICCjplQLK6SvQ1157reQDERERESkAJb1SIDlVe9esWWOhaERERETyR0mvFNjt1d5Nmzbxww8/WCYYERERkXxQ0isFllntbdOmjWkFqaFDhxZqJa6iZmtre9fzj4qISOmVkppCOgVfyEWsn5JeKZSQkBAmTJjApEmTgFtLhC5cuNDCUd1aySopKSlfq2qJiIhklZGRQfyVeCW99ynN0yuFkjlbQ7t27Zg/fz779+9n/PjxBAYGmuZotQSDwUDFihX5+++/cXR0LNbVsYpLcnKy6d/MJVvl/6l/8qY+yl1m/6SmpGZbTlpu9Uvmv6Wpf1JSU4i/Es/pxNNQel52qaKkV+6KjY0Ns2bNol27dly6dImQkJBCr/5VVOzs7KhcuTKpqan35FCHkydP0q1bN7788kseeughS4djddQ/eVMf5e63w7/RJ6gPo6eNxr2Ou6XDsTpnTpxh8vDJpa5/0v/3PyW89y8lvXLX2rZtS/fu3Vm9ejVhYWEMGDCAhg0bWjQmg8GAg4ODRWMoLIPBwMmTJzEYDPf0IhvFRf2TN/VR7jIyMjh58iTXU67nuABBaXc95br6R+5L+t5LisSUKVMoW7YsaWlpBAcHa0ytiIiIWBUlvVIkatWqxYgRIwD44Ycf+OabbywckYiIiMj/U9IrRWbUqFHUqFEDgODgYFJSUiwckYiIiMgtSnqlyJQrV47JkycDcPToUYvf0CYiIiKSSUmvFKkePXrQsmVLAEJDQ7lw4YKFIxIRERFR0itFzMbGhtmzZwNw9epVxo0bZ+GIRERERJT0SjFo0aIFvXr1AmDx4sXExMRYOCIREREp7ZT0SrH48MMPcXJyIiMjgyFDhmgKMxEREbEoJb1SLGrUqMGYMWMA2LFjBxERERaOSEREREozJb1SbIKDg6lduzYAw4f9+XGHAAAgAElEQVQP58aNGxaOSEREREorJb1SbBwdHZk6dSoAp06dYubMmRaOSEREREorJb1SrF588UXatm0LwMSJEzl37pyFIxIREZHSSEmvFCuDwcD169cBSExM5MEHH8TPzw8APz8/DAYDBoMBf39/C0YpIiIi9zslvVLspk2blmebkJCQ4g9ERERESi0lvVLs/P39adWq1R33G41GVXpFRESkWNlZOgCAv/76i0WLFrF3716Sk5OpWbMmI0aMoH79+gBkZGSwYsUKNm3aREJCAj4+PgwePBhPT0/TOVJSUli4cCFbt24lJSUFX19fhgwZQpUqVSz1siSLSZMmERAQkOM+VXlFRESkuFm80puQkMDbb7+NnZ0dkydPZvny5bzxxhs4Ozub2qxatYovv/ySQYMGsXDhQtzc3BgxYoRprCjA/PnziYqKYvz48cyZM4ekpCTeeecd0tLSLPGy5Db+/v6mG9qyUpVXRERESoLFk94vvviCBx54gFGjRuHj40O1atXw8/OjRo0awK0q71dffUVQUBDt2rXD09OT0aNHc+PGDbZs2QLAtWvX+Pbbb3njjTfw8/PDy8uLMWPGcPLkSaKjoy358iSL0NDQbNtU5RUREZGSYPHhDbt27aJ58+aEhIRw4MABKleuzPPPP0+nTp0AOHfuHPHx8TRr1sx0jIODA02aNOHgwYN07tyZI0eOcPPmTZo3b25qU7lyZTw8PDh48CAtWrTIVywXL17k4sWLpudJSUkAxMTEmFWecxMXF2f2r/w/V1dX/Pz8zP4Q+f3339m/f78Fo7I++gzlTv2TN/VR7o4cPgLAmZNnLByJdcrsF/VPdnZnL+D2v5/Pnz/PzePHLRqPtTp79ixQcr+Drl27lq92Fk96//zzT77++mteeuklevbsSVxcHHPnzsXe3p4OHToQHx8PQMWKFc2Oq1ixIufPnwcgPj4ee3t7XFxczNq4ubmZjs+PjRs3smLFimzbjUZjQV8WQUFBBT6mNOrTp4+lQ7Ba+gzlTv2TN/VR7maMmWHpEKya+ie7uo6OhP7vfqIvvviC48uWWTgi62Ztv4MsnvRmZGRQv359Xn/9dQC8vLw4deoUGzZsoEOHDqZ2BoMh27E5bbv93Hm1yeq5556jdevWpudJSUkMGTKEHTt2FKjSGxQURHh4OD4+Pvm+dmnSs2dPDh06ZHr+5ptv8tprr1kwIuuiz1Du1D95Ux/lLjommn6v9SN4UjDunu6WDsfqnDl5hhljZqh/cmB39gIs+xqAwMBAKjVqZOGIrNPRo0dZsGBBif0OunbtWr4KlBZPeitVqkTt2rXNttWuXZuoqCjgVrUWblVzK1WqZGpz6dIlU/XXzc2N1NRUEhISzKq9ly5domHDhgWKJes1EhMTAWjatCmurq4Fel0+Pj74+voW6JjSYujQofTv35+mTZsSExPD0qVLGTx4MN7e3pYOzaroM5Q79U/e1Ec5S0hKAMDd0526PnUtHI31Uv9kl2ZvT+Yt9FWrVqV2XfVPTjInGiip30FXr17NVzuL38jWsGFDzpwxHzf0xx9/ULVqVQCqV6+Om5sb+/btM+1PTU3lwIEDpoTW29sbOzs7szYXL17k1KlTBUp6pWRkjs9+9913cXBwIDk5mf79+5ORkWHhyEREROR+ZfGk96WXXuK3334jPDycs2fPsmXLFjZt2sTzzz8P3BrC8OKLL/LZZ58RFRXFyZMnmTx5MmXLluWJJ54AwNnZmY4dOxIWFkZ0dDRHjx5l4sSJeHp6mpa8Fevj6enJmDFjAIiMjGSZxkaJiIhIMbH48IYGDRowYcIEFi9ezKeffkr16tUZOHAgTz75pKnNyy+/THJyMrNmzTItTjF16lScnJxMbQYOHIitrS2hoaEkJyfj6+vL6NGjsbW1tcTLknwaPXo0q1evJi4ujuHDh9OpUydTlV9ERESkqFg86QVo1apVrsvUGgwG+vTpk+ud/g4ODgwaNIhBgwYVQ4RSXMqUKcOiRYto27Ytly9fZvDgwaxatcrSYYmIiMh9xuLDG0TatGnDgAEDAFi9ejXffPONhSMSERGR+42SXrEKkydPpnr16gC88cYbJCQkWDgiERERuZ8o6RWrUL58eebNmwfAmTNnGDdunIUjEhERkfuJkl6xGl26dOGFF14AYM6cOezdu9fCEYmIiMj9QkmvWJV58+bh4uJCRkYGffv2JTU11dIhiYiIyH1ASa9YlRo1ajB58mQAYmNjmTZtmoUjEhERkfuBkl6xOgMGDKB169YAvP/++xw9etTCEYmIiMi9TkmvWB0bGxsWLVqEvb09ycnJDBgwQEsUi4iIyF1R0itWqWHDhowePRqAbdu2sXz5cssGJCIiIvc0Jb1itSIjI00/v/rqqxgMhmwPf39/i8UnIiIi9w4lvWK1QkND82wTEhJS/IGIiIjIPU9Jr1gtf39/jEbjHfcbjUZVekVERCRflPSKVcutkqsqr4iIiOSXkl6xaneq9qrKKyIiIgWhpFesXk4V3Q4dOpR8ICIiInLPUtIrVi+nau+sWbO4cOGChSISERGRe42SXrkn3F7tvXDhAn379tWiFSIiIpIvSnrlnpBZ7TUajbz11lsAbNy4kcWLF1s4MhEREbkX2Fk6AJH8yqz2tmjRgq1btxIXF8fQoUPx9/fH29vbssGJiIiIVVOlV+4Z/v7++Pv74+TkRHh4OPb29ly/fp2goCBSU1MtHZ6IiIhYMSW9ck/y9fU1rdj2008/MWHCBAtHJCIiItZMSa/cs0aMGEHbtm0BmDhxIrt377ZwRCIiImKtCjymNy0tjT179hAdHU1cXBzx8fEkJyfj6uqKu7s7jRs3pl27dlSvXr044hUxsbW15dNPP6VJkyZcvXqVoKAgYmJicHFxsXRoIiIiYmXynfQmJSWxevVqNmzYwNWrV/Hw8KBevXo0btwYBwcHEhIS+O9//8uqVatYtGgRTZs2pU+fPjRq1Kg445dSzsPDg/nz59OrVy9OnDjBkCFDWLp0qaXDEhERESuT76Q3MDCQ2rVr069fP9q0aYOzs/Md28bFxbFt2zbGjBnDa6+9xgsvvFAkwYrkpGfPnmzatInVq1ezbNkynn32Wbp06WLpsERERMSK5DvpnTBhQr6rtj4+Pvj4+PDKK69w/vz5Qgcnkh8Gg4GwsDB27tzJ2bNn6devH61atdIQGxERETHJ941shRmm4OTkhKenZ4GPEymoihUrsmLFCgAuXrzIK6+8otXaRERExESzN8h94/HHHyc4OBiA77//nvnz51s4IhEREbEWBRrTazAY8n3izz//vFABidyNiRMnsnnzZmJjYxkxYgTt27fnoYcesnRYIiIiYmH5rvS2bNnS7HHz5k0uX76Mp6cnvr6+eHp6cvnyZdLS0mjZsmVxxixyR2XLluWzzz7DYDBw48YNGjZsiMFgyPHh7+9v6XBFRESkhOS70jt48GDTz6tXr6ZKlSosW7bMbBaHhIQERo8eTZUqVYo2SpECaNSoEQMGDCAsLCzXdiEhISUTkIiIiFhcocb0rl27lp49e2abtszFxYUePXoQERFRJMGJFNa8efOoUKHCHfcbjUZVekVEREqRQiW9CQkJJCYm5rgvMTGRa9eu3VVQInfLxsaGRYsW3XG/qrwiIiKlS6GSXl9fXxYtWkRMTIzZ9piYGBYvXoyvr2+RBCdyN1566aUcb2JTlVdERKT0yfeY3qyCg4MZO3Ysw4YNo1y5clSoUIHLly+TmJhIvXr1GDp0aFHHKVIo8+fPJyAgwGybqrwiIiKlT6GS3kqVKrFw4UL27t1LXFwc8fHxuLm54ePjQ4sWLYo6RpFC8/f3p02bNuzcuRO4tXqbo6OjhaMSERGRkpbvpHfz5s08+uijuLq6mra1aNFCSa5YvQkTJpiqvRkZGbz44ovs379fs4yIiIiUIvke07to0SK6dOnCoEGD+OKLLzh16lQxhiVSdPz9/TEajfj4+ADwxx9/0KNHD9LS0iwcmYiIiJSUfFd6v/zySw4fPsyePXv48ccfWbJkCVWrVqVVq1a0atWKpk2bYmdXqNESIsUucxzvunXrmDNnDlu2bOG9997jgw8+sGxgIiIiUiIKlKXWr1+f+vXr07t3b+Lj49m9ezd79uxh/Pjx2NjY4OfnR6tWrWjZsmWuc6SKlLTM2Rpat27Nvn372LVrFxMnTuTRRx/lueees2xwIiIiUuwKNWUZgJubG88++ywTJkzg66+/Zty4cbi5ubF8+XK6du3KwIEDizJOkSLh4ODAmjVreOCBBwDo1asXx48ft3BUIiIiUtwKnfRmZW9vz6OPPsrgwYNZtWoVixYtonXr1kVxapEiV6NGDVatWoWNjQ1Xrlyha9euXL9+3dJhiYiISDG6q6T3zJkzbN68mVWrVrF582ZOnz4NQN26denZs2eRBChSHAICAvjwww8BOHDgAG+++SYZGRkWjkpERESKS6HuPEtKSmLatGlERkaSkZGBnZ0dN2/exGAw4O/vz/DhwzUXqli9ESNGsGfPHtatW8eKFSto3bo1/fr1s3RYIiIiUgwKVemdM2cOe/bsYdiwYWzYsIEffviBDRs2EBwczJ49e5gzZ05RxylS5AwGA5988gleXl4AvP322/z0008WjkpERESKQ6GS3h9//JF+/frRsWNHnJ2dAXB2dubZZ5/l9ddfJyoqqkiDFCku5cuXZ+3atTg6OpKSksKLL77IxYsXLR2WiIiIFLFCJb0ODg5Ur149x30PPvggtra2dxWUSElq1KgRixcvBuD06dP07NlTC1eIiIjcZwqV9D799NN8/fXX2W78ycjI4Ouvv+aZZ54pkuBESkrPnj1N0+x9//33hIaGWjgiERERKUr5vpFtzZo1pp9dXV05cuQIQUFBtG7dmgoVKnD58mV27dpFamoqjRo1KpZgRYrT9OnT+fTTT0lISCA0NPSOia/RaCQyMrJkgxMREZG7ku+kd+HChTluX7t2bbZtixcv5uWXXy58VCIWUKZMGZYsWUL37t1zbZe5pLGIiIjcO/Kd9G7btq044xCxCt26dWPixIn88ssvOe43Go2mJY1FRETk3lGoMb0HDhwgKSkpx31JSUkcOHDgroISsaTZs2ffcZ+qvCIiIvemQiW9wcHBnDp1Ksd9p0+fJjg4+G5iErEof39/jEZjtu2q8oqIiNy7CpX05rZc640bN3BwcCh0QCLWIKeKbocOHUo+EBERESkS+R7T+9tvv/Hrr7+anm/dupXY2FizNikpKfz73/+mdu3aRRehiAVkVnt37Nhh2jZp0iSeeeYZmjZtasHIREREpDDynfT+9NNPrFixAri1fGtERET2k9nZUatWLYYMGVJ0EYpYSEhICAEBAQDY2tpy7do1OnXqxH/+8x9q1Khh4ehERESkIPKd9Pbu3ZvevXsD0L59e+bPn4+Pj0+xBSZiaVnH9vbt25devXpx9uxZnnvuOX788UfTEtwiIiJi/fKd9Gal6cuktMgc2+vv78+xY8d4//33+fnnn+nRowfr1q3TktsiIiL3iELdyHb48GGio6NNzxMSEpg2bRpvv/02y5cvJz09vcgCFLEkf39/04wN7733Hj179gRg48aNDBs2zIKRiYiISEEUKumdP3++2U1t8+bNIzIyEjc3N1avXk14eHiRBShiLQwGA0uXLqVNmzbArfl8582bZ+GoREREJD8KlfT+/vvvNGjQAIDk5GR+/PFHBg4cyPvvv0+/fv3YvHlzkQYpYi3KlCnD+vXr8fLyAmDw4MF88803Fo5KRERE8lKopDc5OZkyZcoA8Ouvv5KSksJjjz0GQN26dfnrr7+KLkIRK1OpUiW++eYb3NzcSE9Pp3v37sTExFg6LBEREclFoZLe6tWrs3fvXgC2bNmCt7c3rq6uAFy6dAknJ6eii1DECnl5ebF+/XocHBxITEykU6dOnD171tJhiYiIyB0UKul96aWXWLVqFS+88AI//PADXbt2Ne07cOAAdevWLbIARaxV27ZtWbp0KYBpKrNr165ZOCoRERHJSaGmLOvYsSM1atTg8OHDeHl58cgjj5j2ubq60qVLlyILUMSaBQUFcfz4cUJCQvj5558JDAxk/fr1mspMRETEyhQq6QVo0qQJTZo0yba9T58+dxOPyD1n/PjxHDt2jPDwcDZt2oSd3Z3/szIajURGRpZccCIiIgIUYHjDiRMnCnzy1NRUjXOU+57BYGDJkiU0btw4z7aZi12IiIhIycp30vv2228zduxYdu3axc2bN3Nte/bsWVauXElgYCD//ve/7zpIEWtXpkwZtm3bhqOj4x3bGI1G00IXIiIiUrLyPbxh5cqVhIeH88EHH2AwGPD29sbT05MKFSpgb2/PtWvX+O9//8uRI0f4888/8fLyYujQoaapzPLjs88+Y8mSJXTt2pW33noLgIyMDFasWMGmTZtISEjAx8eHwYMH4+npaTouJSWFhQsXsnXrVlJSUvD19WXIkCFUqVKlAF0hcncqVarEokWL6NWrV477VeUVERGxnHwnvW5ubgwaNIjXX3+dyMhI9u/fz759+4iPjyclJQUXFxfc3d0xGo0YjUbT5P35dejQITZt2kSdOnXMtq9atYovv/ySUaNG4e7uzsqVKxkxYgSffvqpaWq0+fPns2vXLsaPH4+rqythYWG88847fPzxx7qhSEpUUFAQ06dPzzZvr6q8IiIillXgG9kcHR155plneOaZZ4osiKSkJCZOnMjw4cNZuXKlaXtGRgZfffUVQUFBtGvXDoDRo0fTpUsXtmzZQufOnbl27Rrffvst77zzDn5+fgCMGTOG7t27Ex0dTYsWLYosTpH8mDlzJgEBAWbbBgwYYKFoREREBAo5e8P3339foPYdOnTIdf+sWbNo2bIlfn5+ZknvuXPniI+Pp1mzZqZtDg4ONGnShIMHD9K5c2eOHDnCzZs3ad68ualN5cqV8fDw4ODBgwVKei9evMjFixdNz5OSkgCIiYnB2dk5X+eIi4sz+1eyu9/7yNXVFT8/P6Kjo03bRo4cScWKFfM15OZ+75+7pf7Jm/ood0cOHwHgzMkzFo7EOmX2i/onO7uzF3D738/nz5/n5vHjFo3HWmVOYlBSv4PyO0d+oZLejz76CIPBANyqxma607bckt5t27Zx5MgRPv7442z74uPjAahYsaLZ9ooVK3L+/HlTG3t7e1xcXMzauLm5mY7Pr40bN7JixYps241GY4HOA7e+5pbclaY+OnPmDE8//XSBjilN/VMY6p+8qY9yN2PMDEuHYNXUP9nVdXQk9H/3FH3xxRccX7bMwhFZN2v7HVSopHfevHlMmDCBxx9/HKPRSMWKFbl06RKRkZFs27aNcePGUaNGjTzPc+HCBebNm8eUKVNwcHC4Y7vMZDqvbVllZGTk2eZ2zz33HK1btzY9T0pKYsiQIezYsaNAld6goCDCw8Px8fEp0PVLi9LSR/369QPgkUceYcmSJQA89NBDhIWF5fp5Ki39U1jqn7ypj3IXHRNNv9f6ETwpGHdPd0uHY3XOnDzDjDEz1D85sDt7AZZ9DUBgYCCVGjWycETW6ejRoyxYsKDEfgddu3YtXwXKQiW9y5Yto1OnTvTs2dO0rXLlynh5eeHo6MiSJUuYMSPvvxCPHDnCpUuX6N+/v2lbeno6v/zyC+vWrePTTz8FblVzK1WqZGpz6dIlU/XXzc2N1NRUEhISzKq9ly5domHDhgV6XZUqVTK7TmJiIgBNmzbF1dW1QOfy8fHB19e3QMeUNvd7H02bNg249U2Bs7Mzs2bN4rfffuPdd9/lX//6l+lGzDu53/vnbql/8qY+yllCUgIA7p7u1PWpa+ForJf6J7s0e3uu/+/nqlWrUruu+icn16/f6qWS+h109erVfLXL9zy9WR08eJD69evnuK9+/fr5HsPh6+vLsmXLWLJkielRv359nnjiCZYsWcKDDz6Im5sb+/btMx2TmprKgQMHTAmtt7c3dnZ2Zm0uXrzIqVOnCpz0ihQlf39//P39MRgMzJgxg759+wIQFRVFly5dSE5OtnCEIiIipUehKr0VKlRg+/btZjeYZdq2bRvly5fP13mcnJzM5tsFKFu2LK6urqbtL774Ip999hk1a9akZs2ahIeHU7ZsWZ544gkAnJ2d6dixI2FhYbi6upqmLPP09DTN5iBiaQaDgYULF3Lt2jVWrVrF999/T2BgIGvWrMl12WIREREpGoX6f9uePXsyY8YM/vzzTx577DHTmN6dO3fyyy+/EBwcXGQBvvzyyyQnJzNr1izT4hRTp041+2p44MCB2NraEhoaSnJyMr6+vowePVpz9IpVsbW15dNPPyUxMZGNGzeybt06Xn31VZYvX46NTaG+dBEREZF8KlTS26lTJypVqkR4eDgff/wxaWlp2Nra4uXlxQcffGB2M1hBzZo1y+y5wWCgT58+9OnT547HODg4MGjQIAYNGlTo64qUBHt7e9asWUOnTp3YunUrK1euxNnZmfnz5xf4xksRERHJv0J/r9qqVStatWpFeno6ly9fpkKFCqpWieRD2bJlWb9+PU899RS7d+8mLCwMFxcXJk+erMRXRESkmNx1lmpjY4Obm5sSXpECcHZ25ttvv6Vp06YATJkyBRsbGwwGg2ksup+fHwaDAYPBoCWMRURE7pIyVRELqVChAj/88APu7nnPgxkSElL8AYmIiNzHlPSKWFCVKlXYvXs3ZcuWvWMbo9GoSq+IiMhdUtIrYmE1atRg6dKld9yvKq+IiMjdU9IrYgV69OhB8+bNs21XlVdERKRoKOkVsRJTpkzJtu3RRx+1QCQiIiL3HyW9IlbC398fo9Fotm3KlCnMnz/fQhGJiIjcP5T0iliRrON3XV1dAXjrrbdyrAKLiIhI/inpFbEi/v7+pnl6P/30U2rVqgXAqFGjGD9+PBkZGZYMT0RE5J6lpFfEyvTr1w8Ad3d3oqKi8PLyAmDChAkMGzZMia+IiEghKOkVsTLNmjUz/VyrVi1+/PFHHn74YQBmzpzJgAEDSE9Pt1R4IiIi9yQlvSJWrlq1akRGRpqGPSxatIjevXtz8+ZNC0cmIiJy71DSK3IPqFSpElu3bqV169YAhIeH0717d1JSUiwcmYiIyL1BSa/IPaJ8+fL88MMPPP744wBERETwwgsvkJSUZOHIRERErJ+SXpF7SLly5di0aROdOnUC4LvvvsPJyQmDwZDjQ6u5iYiI3KKkV+QeU7ZsWSIiIvKV0Gad91dERKQ0U9Ircg+yt7dny5YtVK1a9Y5tjEajKr0iIiL/o6RX5B5la2vL559/fsf9qvKKiIj8PyW9Ivew9u3bYzQas21v1qyZqrwiIiJZKOkVucflVNE9ePAgP/zwQ8kHIyIiYqWU9Irc4/z9/c2qvQaDgaSkJDp27MjixYstGJmIiIj1UNIrch/IWu2dPn065cuXJy0tjX79+jF69GgtWywiIqWekl6R+0BmtddoNDJ06FB2796Nh4cHAB999BGBgYHcuHHDskGKiIhYkJ2lAxCRopG12uvj48OePXvo3Lkze/fuZc2aNfzxxx+sX7+eKlWqWC5IERERC1GlV+Q+4e/vbzZjQ9WqVdm+fTv/+Mc/ANi1axetWrXiyJEjFopQRETEcpT0itzHnJyc+PLLLxk2bBgAx48fp1WrVkRFRVk4MhERkZKlpFfkPmdra8u0adOYP38+NjY2xMfHYzQaMRgMuT40z6+IiNxPlPSKlBJvvvkmGzZsoFy5cmRkZOTZXiu6iYjI/URJr0gp8uyzzxIVFcWDDz6Yazuj0ahKr4iI3FeU9IqUMo888gj/+c9/qFOnzh3bqMorIiL3GyW9IqVQzZo1+fnnn6lYsWK2faryiojI/UhJr0gp5erqypdffplte/v27S0QjYiISPFS0itSij3++OMYjUazbe+99x6jR4/m5s2bFopKRESk6CnpFSnlso7fdXNzA24tXdyhQwcuXLhgoahERESKlpJekVLO398fo9GI0Wjk4MGDtG3bFoBt27bh5+fHf/7zHwtHKCIicveU9IoIISEhhISEUK1aNbZu3crQoUMB+OOPP2jbti0LFy7M19y+IiIi1kpJr4jg7+9vmrHB3t6eGTNmsGrVKsqVK0dqaipvvPEGr7zyCklJSZYNVEREpJCU9IpIjrp3785//vMfvL29AVixYgWtW7fmxIkTFo5MRESk4JT0isgdNWzYkJ9++ol//OMfAMTExFC3bl0MBsMdH5rjV0RErJGSXhHJlaurK2vXruWjjz7CYDDk2V6ruYmIiDVS0isieTIYDIwcOZItW7Zgb29/x3ZazU1ERKyVkl4Rybf27dsTHh5+x/2q8oqIiLVS0isiBdKtWzfTXL5ZeXh45LhdRETEGijpFZECCw0Nzbbt1KlT+Pv7c+rUqZIPSEREJA9KekWkwDJXccvk4uICwM6dO2nSpAnh4eFazEJERKyKkl4RKZSs43cjIiIYP348NjY2XL16lV69etGjRw8uX75suQBFRESyUNIrIoWSWe01Go088cQTvP/++0RFReHp6QnAqlWraNy4MTt27LBwpCIiIkp6ReQuhISEmFV8W7duTUxMDL179wbgzJkzBAQEMHr0aFJSUiwUpYiIiJJeEbkL/v7+2ebldXV1Zfny5axZs4aKFSuSkZHBRx99RKVKlXJdyU2ruYmISHFS0isixeKll17il19+oX379gBcu3Ytz2M0z6+IiBQXJb0iUmxq1qzJ5s2bmTZtGg4ODrm21WpuIiJSnJT0ikixsrGxYdiwYezdu5fatWvfsZ2qvCIiUpyU9IpIiWjSpAlxcXHUqFEj277WrVuryisiIsVKSa+IlBhHR0fCw8OzbY+NjWXFihVa0EJERIqNkl4RKVG3r+YGkJCQQJ8+fXjqqac4ceKEhSITEZH7mZJeESlxWVDEW+QAACAASURBVMfvzpw5Ey8vLwC2bNnCww8/zPTp07l586aFohMRkfuRkl4RKXFZV3MbMmQIBw4cYMyYMdjZ2ZGUlMTw4cNp2bIlMTExlg5VRETuE0p6RcQisq7m5ujoyMSJE9m3bx/NmjUDIDo6mmbNmlGrVi2zBSz8/PwA8PPz06IWIiKSb0p6RcQiclrNrUmTJuzZs4cZM2bg5OREWloaZ86cyfNcmu5MRETyoqRXRKyKra0tQ4cO5ddff+Wpp57Ks70WtRARkfxQ0isiVsnT05N//etfrFy5EldX1zu2U5VXRETyQ0mviFgtg8FAUFAQx44d44EHHsi2v3nz5qryiohIvijpFRGrV6VKFVavXp1te3R0NIMHD+bSpUsWiEpERO4lSnpF5J5w+6IWBoOB9PR05syZg5eXF2FhYZrbV0RE7khJr4jcM7KO3504cSIvvfQSABcvXuTNN9/E19eX7du3Wyg6ERGxZkp6ReSe4e/vb5qnt0OHDqxZs4bIyEiaNGkCQGxsLO3bt6dr166cPHkSf39/szl+c3poTLCISOmgpFdE7in9+vUze240GomOjmbhwoVUqlQJgIiICHx8fHB3d8/zfJr9QUSkdLCzdACfffYZUVFRnD59mjJlytCwYUP69etHrVq1TG0yMjJYsWIFmzZtIiEhAR8fHwYPHoynp6epTUpKCgsXLmTr1q2kpKTg6+vLkCFDqFKliiVelogUk8wV27KytbWlf//+dOvWjdDQUObNm0dycjLh4eE4ODiQkpKS47k0x6+ISOlh8UrvgQMHeOGFF5g/fz5Tp04lLS2NkSNHkpSUZGqzatUqvvzySwYNGsTChQtxc3NjxIgRXL9+3dRm/vz5REVFMX78eObMmUNSUhLvvPMOaWlplnhZImIBFStWZObMmfzyyy906NAB4I4JL6jKKyJSmlg86Z0yZQpPP/00np6e1KtXj1GjRnH+/HmOHDkC3KryfvXVVwQFBdGuXTs8PT0ZPXo0N27cYMuWLQBcu3aNb7/9ljfeeAM/Pz+8vLwYM2YMJ0+eJDo62pIvT0QswMfHh++++46NGzdSr169HNuoyisiUrpYfHjD7RITEwFMKzCdO3eO+Ph4s680HRwcaNKkCQcPHqRz584cOXKEmzdv0rx5c1ObypUr4+HhwcGDB2nRokW+rn3x4kUuXrxoep5ZbY6JicHZ2Tlf54iLizP7V7JTH+VO/ZO7gvTPgw8+SHh4OFOnTmXt2rXZ9n///ff35RAofYZyd+TwraLKmZNnLByJdcrsF/VPdnZnL+D2v5/Pnz/PzePHLRqPtTp79ixQcr+Drl27lq92VpX0ZmRksGDBAho1amQarxsfHw/c+toyq4oVK3L+/HlTG3t7e1xcXMzauLm5mY7Pj40bN7JixYps27PODZpfQUFBBT6mtFEf5U79k7u77Z8dO3awY8eOIorGOukzlLsZY2ZYOgSrpv7Jrq6jI6H/y0+++OILji9bZuGIrJu1/Q6yqqR39uzZHD9+nLlz52bbZzAY8rUtq4yMjDzbZPXcc8/RunVr0/OkpCSGDBnCjh07ClTpDQoKIjw8HB8fn3xfuzRRH+VO/ZO7wvbPvn376N+/PwCPPvooe/fuJSMjA4By5crRq1cvevToQbly5Yol7v9r797joq7zPY6/gJnhDgKCoKCiiOItU4+6W6mo3STLXbNy0zI121YfZZeTbe1uHs9u2uW0WkfN8q65amneuth6Xc3TRVsttULNvCACAgIDw33OHwMTIzDgjRnh/Xw8eAzz+/2+39+Xj9+mD1++v++3IakPObf/wH4mjp/I0y8/TUxs3St8NDWnT5zmjRfeUHxqYEhJh0UbABg1ahRh3bq5uEXu6ejRo8ydO7fBPoPMZnO9BijdJul988032bt3L7Nnz3b4c2NoqO0PCVlZWfbliACys7Pto7+hoaGUlJSQl5fnMNqbnZ1Nly5d6t2GsLAwh3tUTrXo0aOHfbpFfSUkJNCzZ89LKtPUKEbOKT7OXWp8evbsycqVKwHYuXMnhw4d4s9//jPr168nPz+ft99+m7Vr1/LCCy+wbt06du/e7bS+AQMGsHPnziv5Ea459aGa5VnyAIiJjaF9QnsXt8Z9KT7VlRmNVD5C36JFC9q0V3xqUrnQQEN9BuXm5tbrOpc/yGa1Wpk9eza7d+/mjTfeICoqyuF8VFQUoaGh7Nu3z36spKSEgwcP2hPa+Ph4DAaDwzWZmZn8/PPPl5T0ikjjNm3aNPuKDV27duXDDz/kiy++YPDgwQBkZGTw1FNP1WsemlZ+EBG5vrh8pHfWrFls27aNv/71r/j5+dnn4Pr7++Pt7Y2Hhwf33nsv7733HtHR0URHR7NixQp8fHwYMmQIAAEBAQwdOpR58+YRFBREUFAQ8+bNIzY21r57k4hITas19O3bl61bt7Jt2zZefPFFvvzyS86fP++0Hq38ICJy/XF50rtx40YAnnrqKYfjU6dO5Y477gDggQceoKioiFmzZtk3p3jttdfw8/OzXz9p0iS8vLyYPn06RUVF9OzZk+effx4vL6+G+2FE5Lo1ePBgBg0axKZNm3jxxRc5dOhQrddqlFdE5Prj8qR3x44ddV7j4eHB2LFjGTt2bK3XmEwmnnjiCZ544omr2DoRaUo8PDy4++67SUpKYtWqVUyYMIHCwkKHazp37swtt9ziohaKiMjlcvmcXhERd+Pl5cWDDz7Ipk2bqp07cuQICQkJLFy40OlubyIi4l6U9IqI1GLIkCEOy+D4+PgAtuV4JkyYQLt27fj73/9uX+lFRETcl5JeEREnqs7f3bx5MytWrKBr166Abdehp59+mjZt2jB9+nSysrIYOHAgHh4eTr/0EJyISMNT0isi4sTAgQMZMGAAAwYMYPDgwTz44IMcPHiQDRs20K9fP8C2ROJLL71EmzZtaNGiRZ116kE4EZGGp6RXRKQOVdf3BfD09OTuu+9m79697Nixg9tuuw2w7Qq0Zs0apztBarkzERHXUNIrIlKHgQMH1pioVk5V2LJlC/v27WPEiBF4eHjYtzeuiUZ5RURcQ0mviMhV0KtXLz744AOOHDlS6/KKnTt35qabbmrYhomICKCkV0TkqurUqROLFy9m1apV1c4dOXKE2NhYXn75ZTIyMlzQOhGRpktJr4jINXD//fc7LHfm7e0N2FZ8ePHFF4mJiWHcuHH8+9//BtCqDyIi15iSXhGRa6Tq/N2PPvqI9evXM2jQIACKiopYvHgxPXv25JZbbqlXQqv5wCIil8/l2xCLiDRWlcudAQwePBiAe+65h0OHDvHWW2+xfPlyLBYLe/bsYc+ePZhMplp3edOqDyIiV0YjvSIi19DFy50BdO3alfnz53PmzBlee+012rRpA+B0W2ON8oqIXBklvSIi11Bty50BhIaG8uyzz3L8+HE+/PBDEhMTa7yuQ4cO9OjR4xq2UkSk8VPSKyLiYl5eXgwfPpzt27ezcOHCauePHj1KVFQUY8aMYefOnU7XARYRkZop6RURcSPjxo1zWPXB398fgMLCQlasWEFiYiIdOnRgxowZnD17Fqi+8kOvXr0A29rBWvlBRMRGSa+IiJupOn9306ZN7Nu3j8cff5zg4GAAjh8/zgsvvEBMTAzDhg1jyJAhl1SniEhTpNUbRETcTNVVHyrn+fbq1YvXX3+dtWvXsnDhQnbt2kV5eTmbN29m8+bNGI1GSkpKaqxPKz+IiCjpFRFxSzWNzPr5+TFmzBjGjBnDsWPHWLRoEUuWLCE1NbXWhLe2ukREmhpNbxARcUPOVn0AiIuL4+WXX+bUqVNs3LiRe+65p8brwsLCSE9Pp6Cg4Bq1VETk+qCkV0TkOmYwGBg2bBjr16/ngw8+qHY+MzOT+++/nxYtWvDQQw/xySef2EeFtfWxiDQlSnpFRBqJESNGOKz80KJFC6KjowEwm80sX76coUOH0rJlSyZNmsSIESPqrFNTI0SksVDSKyLSiFRNUqdPn87JkyfZtWsXjz32GKGhoQCcP3+euXPn8sQTT+Dt7V1rXXoATkQaEyW9IiKNyMCBA+3r9Pbu3RtPT0/69+/P22+/TWpqKps2bWLUqFH4+fkBUFRUVGtdGuUVkcZESa+ISCMzceLEGo+bTCbuuusuVq5cSXp6OitXruSuu+6q8VpfX18+++wzvv7662o7wGkusIhcj5T0iog0Mr17967zGn9/f0aNGsWmTZtYv359tfMWi4UZM2bQp08f2rRpwxNPPMHOnTspLS2t1wiwRolFxN0o6RURaeLuuecehwfg4uPjufPOOzEajQCcPn2at956i8TERCIjI1m2bBldu3attT7NBRYRd6SkV0REHEZm58+fz8cff0xGRgYrV65k5MiR+Pv7A7Yl0BYvXsyhQ4fqVZeIiLtQ0isiIvatj6uO0gYHBzNq1CjWrFlDRkYGGzdu5JFHHrGvAlGT9u3bExkZWW0ecNX7aD6wiLiCkl4REQFsI7S1jdL6+voybNgwFi1aRFpaGtu3b+c3v/lNteuOHz9OQkIC7du3Z/LkyXz00UcOu8FpPrCIuIqSXhERAere+riSwWAgMTGRdevWOcwFDggIsH9/4sQJ5syZw1133UVoaCh33nknb775JtHR0Q5lLqb5wCJyrSjpFRGRy1Z1VHbTpk2kpqayePFi7rvvPoKDgwHbWsCffvopTz75JB06dODo0aP1qk9E5GpS0isiIpft4rnAkZGRjB07ltWrV3P+/Hn+9a9/8cc//pEbbrjBXubs2bM11tWrVy/69+9f6300F1hEroTB1Q0QEZHrW22jswaDgVtuuYVbbrmFl19+mZSUFD799FM+/vhjPvnkEywWi8P1+/fvJzw8nIEDBzJ48GAGDx5MfHw8Hh4eTJs2jcTExMtqh4gIKOkVEZErVN8R1latWjF+/HjGjx9PcXExffr04eDBgw7XZGVlsW7dOtatWwdAy5YtGTx4MIMGDaJfv3588cUXNdatucAiUhclvSIi0uBMJhOzZs2yj95u2LCB0tJStm/fzrZt2/jhhx8A21SI5cuXs3z5cqf1aZRXROqipFdERFyicj4wwN133w3Ab3/7WwBSUlLYsWMH27ZtY9u2bZw+fRqAl4DDwAcVddwLJLVpo1FeEamTkl4REXGZ2kZoW7VqxejRoxk9ejRWq5Xjx49zYcoUen/0EenAzorr5gARJ0/CtGm2LxGRWijpFRERl6nPCK2HhwdxK1bARx8BEIEt2fWo+B6A//ov26sSXxGphZYsExER99elC4SH29/eB4yser55c9s1zkybBu+/b3/b4YsDxM9beTVbKSJuTEmviIi4v5Ej4fBh22tNsrLgb3+DiRNh4UL47jsoK/vl/LRpttHgSZMwZl+gOZC4eC0d569S4ivSRGh6g4iIXD+s1pqPl5fDwYO2r3fftR3z94fevaGkBPbutR3LyCDujVnMBfxyzQB0nL8KgOTHf1dj1fHzVpLXvjWpt90MQNRnewg8fqrW60XEPSnpFRER9/f++zBpEmRk1Hze3982veHsWThzxnYsPx927ap2acSOnQ5TI4pCgslr37rGauPnraTj/FUUhQST2bsbAN1mzMc7OweoPVEWEfejpFdERNzf4cOOCe/IkbZR3w8qFi/Lz4c777RNYzh7Fr76Cr780vb69deQl1dr1VYPiNmwjaDkn8nt1I6cTu0oaNWC+Lf/YR8F9s7OoduMt8FqtSe8dY0Qi4h7UdIrIiLur3JVhv/6L9sDbXPm2N7v2mVLhl966ZdrWraE4cNtX2Cb2/t//wdPPQX79lWr2icrB5/P99Pi8/32Y8WB/hSGh1HmbcKrqNhW7T8/dyjnbIS4kqZGiLgPJb0iInJ9qExqq67kMGeObRTY2VJl69Y5nRpR5m2iILI5vulZGCyFAJjy8jHl5ddaZU7HWJIfvZ+snp1rvUZTI0Tci5JeERG5flyc3I4cWfuKDpUumhqRnjiQXVXm9XoVFXP2jv4kT7wf/9OpBH9/nOAffrJ9HTlWY/Ib/OMJ/uPZmQAUhQaTG9eGvLg25HawvUbu+JIOi2xTLy5naoRGiEWuPiW9IiLSuF00NeLY01P4w46dJAUF4Jdr5sfHHrAnk/lto8lvG83ZOwcQ9dkeuiX/XGf13lk5hH/1LeFffetw3OrpgUe5bbWJS5kaoRFikWtDSa+IiDR+VaZGlIQ04zyw45ERxBUW1ZpEBh4/ZU80Ac7eehNYrbTcutd+7NyAPhRERxJ47CSBx07ik3nBfq4y4b1Yqa8POfFtCTmUjNFcQF5sNObYaEqaBdkTXrj8h+c0SixSMyW9IiLSNFQmvp/bljE72q8H5Qnta728MkmsHHX97o+/ByBs/2G8s3McRogrmbJyCDz2M0HHThF86CgtPt+HKcfscI3BUkjElweJ+PKgw/GikGCKmwVS5m3Eq6gEuPSH5zRKLFI7Jb0iIiK1qEwS89q3pjg0GIDv/vhYrSOnxaHBZPa5AdOFPDr837+rJbyVyg1elHmbMOZb7Me8s3McRpYvZgkPJTWxH8ZcM2FfHSS/dUsKI8LA07a56pWOEleOEB+PiQJs2zTH7fxSibI0Gkp6RUREnLg46Uu97WZS6yhT19QIz9Iyjo6/h58fuIuAn88QcOKM7fWnMwQcP4VfajoeF9Xpm5FFuzUfOxwr8zaRHx1JfuuWUFZOiZ8vxgJbIn2584j3z3zWvk1z5a51SnylMVDSKyIicpVdytSIrJDOZN1oW/os6rM9dJsxv1rCW8nq4YFHla2YvYqKCTp+iqDjp5y2xxwdyZmkRPD0JPj74xS0akFJUABQfYQ4cdEHl7RNc2Udmkcs7k5Jr4iIyDVwqVMjoO4RYg+rlaNjf0vqbTfjf+os/qdT8T9Z8XoqtdbpEQFnztFp/j8cjpUE+FPQKoJyo5EyHxNehbZNOOK/PEh8leuu5TxiJcvSkJT0ioiIXCOXOjXiUkaIczrHOZSN+mwP3V5+G+8LuTXWbQWHEWSjOZ/gH084bX9xoD8XOscR+u/v8T2XgSUyHEtUOJbIcIrCmhE/f9VlzyPWQ3fS0JT0ioiIuJHLGSGGilHiKglvtVFi4Kff3UXagL74paThl5KGb0oafmfT8Dudik929WTZlJdv2565yhbNlcoNBoqD/Ck3eOFZWgbUfx7x1XroTiPEcimU9IqIiLiZy3l47nKWWINf5hHXptzgRUmAH6bcfDzKy+3HPUtL8cmqfbUJAEOemYTZS4n9x2YKI8IojAilMCIMg7mA4kB/+253Dbl5hxLmpktJr4iISCNxNeYRJ/e9gYNfHrRv0+xZWsbP9ydx9NH78cnIwvdcBr6pGb+8nk4ltGKjjYt5lZbhn5KGf0pavX+GgqgIzg3sg09GFlFb9lAUHkJRWAiF4SG0X/rhFY8QX8n84/SgQCp/ypjkZOJPnCD5d0qWrxdKekVERBqRK51HvGPcvfzpy4M1btNsibLN6eVGW9moz/bQbeveGhNegFJfbzJv7Ey5tze+aefxycjCO/OCw4jxxfxS02n3j801niszGSn39MSzovzFI8TFgf4UhQThZSmizNfb4dyVTKmoLBsU0ZzTzSMA6LVjB9FZWbYydSS+8StXkte6Nak3V4wu79lD4KlTSpgbmJLeeigtKKDUUL9QlRcW4u3hQXlhIaUFNX8INHWKkXOKj3OKT90UI+fKi4rw9vCA4hKsFSsWNHU/PnIvZWXlmGOjsfh4k+fhwfaHhtOusJhjj9wLtcTJL/lnvC7kUuphe0QuddCvwGolascXtgsKi8ns3IFjE+6zl/EoKyN64zY6zltpn95wsYuXZrMrKcUKlHvUvKibp7mAzq+8S+dX3qXU14eikCCKQ4IpDg3Gy1JIoa8PhsIiACIq5jpXtr0oJJic1i2r9Ym4BWtov/B9Sj088MzLh+a240aLhVIPD9qvXk1ZeTnH7ruPmsStWUP799+nKDiY8x07ApDwzjt45+Q4LVdZ1hwdzblf/xqAyL17CThzxmkZd+BRWtqgn0H1vYeS3nrIPXkSAgLqdW1xaipR3t4Up6aSGxx8jVt2fVKMnFN8nFN86qYYOVd6Lo0ob28MmRcoP5vu6ua4jeShAwEw/HyGKG9vfm7XmtK20eAkRslDB1JYUEjbdZ9RHBjAt2OGA2D87iimPDM///Y2Tg0dWK0O6+lzFBaXUuhtG43N6HsDWK2Ef/Wt/ZqTv7mV1MG/wnQhD9OFXPurT3omzb77scYH7xyUWyEzB6/MHHwrDhUAeHvXeHlpeTmt5q8mYuVmSgIDKAn0ozTQH48LeWQFB2EoLCLfZLJfn28yYbRaKQ4IIKtZM8rTq8ep9aefEvnZZ+R6e0NhIbHvvANWK0WFhRR5exO5cSOFhYWcuuOOWssWBwSQERlpO7ZsGSazudYyF5cviIzkfI8eADQ/cAC/c+fqLHc1GHNyGvQzKNdc886HF1PSKyIiIpft1L22JKogOtK+4cWxR36L35lz9nO1lalMlo89MgKA4O9/+iVZrrimOLSZvVzzLw7QcsseTHk1Jzklfr6cS+xHYWRzjLl5GHPMGHPNmHLNGHPyMObkYjRbatz8w1BYjKEwE9/0zHr/7OWenpQZjcTs2EHUF19Q4u9Pqa+v/dWYn0+pjw+GwkIAwg8edChfHBBAQUVCW1XrTz+l7WefAWAym4lbuxasVkwVyV3ludoS2MryxQEB5MTZlraLW7fOXt5Z4nslyXJl2WMVA4UBX34J//oXTJxYZ9mGoKS3HoLatCEoKKhe15pyckgtKsIUFUVQbOw1btn1STFyTvFxTvGpm2LknCEthdSiIkrDmuHZMsLVzXE7pXnmS47PmSceAsCz4n3Wb28jq8r72sr4+Plgjo2mrFM7AE5NeYiAE2c4M+G+GsuGZl2g+flfktJq0ymKisgMCeTkmHuqlY3ctpcu/7MI76KiGttT6uNN1o0JlAQE4H0hB2NOnn102au4BICSKtMq/IuLaVZYCBaLk5+ydqUmE54mE/G7d9Nu/35K/P3tX765ufh6emKsqDvoq68cyhYFB1MaF4dnRPV/n7g1a4jftMkej+7r14PVSvNMW9y6b9qEj49PjVMkKssWBQezu29fAG5cswbvnJxay9RUdt/EiRQXFdFh4UKM2dkQGAgvvHBZcaqX3DpG/Sso6a0Hg58fBj+/el3r6eNDkdWKp49Pvcs0NYqRc4qPc4pP3RQj5zy9vSmyWsFkxMPHVHeBpsZkbLD4HJ88Gvhl04y0pIGkQa3bMB+fPBovL0/7Q3dHXnwcgIh/H7Evy3b88d/VWD741Fn8sy7Y31+8jrHBUkhet47VHmSzLen2Nt7ZuXhVOe4FGKxWykwmLsTFUernhyk3F6PZjCkvD2N+vtMH9gxFRficPQtnz9YeoNpYLHRbsoSENWso9fOzjSxXvHpnZ4PJhKEiuY/Zu9ehaHFgIIUtW+JhMIDnL79axK9cScc1a2xtu3CB7osWgdWK/wVbzDqvWYOXp2eND99dXPb2jz+mldWKb8WDfvztb2AwwLRpl/6z1oOhtLR+112Tu4uIiIhcA5e7ecflrmNsW9Kt9pFEr+JiznfvXj0ZLC8nevt2uixejCkvr8ayZUYjObGxlFVMhTCazbbXeiTMhqIiqEwqL4EpL4+es2Zx4+zZlPr4UOrrS6mfHx6lpZQbDHhWJJAtP3dcGaPE1xdDQQER+/ZR6uNDma+vrbyPDwWRkRQFB+OdY1sJI+HQIRKqFg4Phy5dLrmtV5uSXhEREbmuXM7mHVXLXUrCXDVZLgn0tx8v9PUFi4UfH3ig5qXHPD3xS093SHjP3lQxulwx+upVUkJGz57Vykft2UO3t9/Gu5Y/25d6e5Nxww0Uh4RgKCjAmJ9f/bViHnFtPKxWjBaLbQpFPZJno8VC+40bab9xY63XVF1Ozm7kSJgzx5b4upiSXhEREWkyrmS3u/SgQPjINgK6PzGRfKPR6Vq7lec6rlpFUXAw3/2+YnT58GG8c3JqTZgDT51ySHgvTpYNRUXktmtXY9moPXvoNn9+rUlviZ8fZ/r3J79VKwwWi8OXMSeHZj/9VGuyXZdqCS9ATUvPuYiSXhEREZE6JD/+O8qOnbInvafj4/H81a/qLleRmOa1bk1xxfJd3z32mNPNKS43WYaKhDnnlx32Lk6YjQUFFDdrxol7HB/2q0yWa0t4i4KC+GH0aDK7d8fLYsFQWIihsBAvi4Wwb78lZufOmhPtDz6AXbtso70jR1Y/34CU9IqIiIhcQxcnqKk312N0+TKS5arlLmt02Umy7J2bi09WFvktW9ZYtmrC+33Xrhw6dMi+lTUZGXD4sJLeq2n9+vWsXr2azMxM2rZty+TJk+nevburmyUiIiJyyS4nWa5arqFGly8uu+Xuu/nboUMMDwmxLVn20kvXbOWGS9Fokt7t27czZ84cpkyZQteuXdm0aRNTp05lyZIltGjRwtXNExEREWkwDTm6fHHZAn9/zgOnp06lncXiFgkvNKKk9/3332fo0KEkJSUBMHnyZL7++ms2btzIo48+6uLWiYiIiLi/yx1ddij73XcAXLj1VujZ8yq27so0iqS3pKSE5ORkfnfRP1Tv3r05dOhQvevJzMwkM/OXnV4sFTuhHDhwgICKLfXq8v333zu8SnWKkXOKj3OKT90UI+eSf0wG4PSJ0y5uiXuqjIviU50hJZ3Qiu/T0tIoPX7cpe1xVykpKUDDfQaZzTVvS30xjx07drjPWhKX6fz584wcOZK33nqLrl272o+vWLGCzz77jGXLltWrniVLlrB06dJr1UwRERG5jrX39WV6xdbefzlxguOXuQWxXBubN2/G39+/1vONYqS3kodHbRsX1s+wYcP49a9/bX9vsViYMmUKu3btuqSR3tGjR7NixQoSEhLqLtAEKUbOKT7OKT51U4yc239gbf6RngAAEphJREFUPxPHT+Tpl58mJjbG1c1xO6dPnOaNF95QfGpgSEmHRRsAGDVqFGHdurm4Re7p6NGjzJ07t8E+g8xmMwMGDKjzukaR9AYHB+Pp6UnWRTuKZGdnExISUu96wsLCCAsLs7/Pz88HoEePHgQFBV1SmxISEujpRvNY3JFi5Jzi45ziUzfFqGZ5FtsOWTGxMbRPaO/i1rgvxae6MqORgorvW7RoQZv2ik9NCgpsUWqoz6Dcem6m4XmN29EgjEYj8fHx7Nu3z+H4/v37HaY7iIiIiEjT1ChGegFGjhzJjBkz6NixI126dGHz5s2kpaUxbNgwVzdNRERERFys0SS9gwYNIjc3l2XLlpGVlUXbtm2ZOXMmkZGRrm6aiIiIiLhYo0l6AYYPH87w4cNd3QwRERERcTONYk6viIiIiIgzSnpFREREpNFT0isiIiIijV6jmtN7tVmtts3q6rv+G/yyFZ7ZbL6kck2JYuSc4uOc4lM3xci5yjXYs3KyCMwMdHFr3E9WTpb9VfFxZL2QDWVlAFzIycE3Pd3FLXJPlZ87DfUZVHmPyrytNo1iG+JrJSMjg/vuu8/VzRARERGROqxZs4bw8PBazyvpdaK8vJzMzEx8fX3rvcXxsWPHmDJlCrNmzSIuLu4at/D6pBg5p/g4p/jUTTFyTvFxTvFxTvGpW0PHyGq1YrFYCAsLw9Oz9pm7mt7ghKenp9PfGGri6+trf/X3978WzbruKUbOKT7OKT51U4ycU3ycU3ycU3zq5ooYBQQE1HmNHmQTERERkUZPSa+IiIiINHpeY8eOnebqRjQ2vr6+9OjRAz8/P1c3xW0pRs4pPs4pPnVTjJxTfJxTfJxTfOrmjjHSg2wiIiIi0uhpeoOIiIiINHpKekVERESk0VPSKyIiIiKNnpJeEREREWn0lPSKiIiISKOnpFdEREREGj0lvSIiIiLS6CnpFREREZFGT0mviIiIiDR6Blc3oLFZv349q1evJjMzk7Zt2zJ58mS6d+/u6ma53JIlS1i6dKnDsZCQENatW+eiFrnewYMHWb16NcnJyWRmZvLf//3f3HzzzfbzVquVpUuXsnnzZvLy8khISODJJ58kNjbWha1uOHXFZ+bMmWzZssWhTEJCAnPnzm3oprrEe++9x+7duzl16hTe3t506dKFiRMn0rp1a/s1TbkP1Sc+TbkPbdiwgY0bN3Lu3DkA2rZty0MPPUTfvn2Bpt13KtUVo6bcfy723nvvsWDBAkaMGMHkyZMB9+xDSnqvou3btzNnzhymTJlC165d2bRpE1OnTmXJkiW0aNHC1c1zubZt2/I///M/9veenk37Dw2FhYW0b9+eO+64g5deeqna+VWrVvH+++8zdepUYmJiWL58Of/5n//JsmXL3Gov82ulrvgA9OnTh6lTp9rfGwxN5yPt4MGDDB8+nI4dO1JWVsbChQt57rnnWLx4Mb6+vkDT7kP1iQ803T4UHh7Oo48+SqtWrQDYsmULf/rTn3jnnXeIjY1t0n2nUl0xgqbbf6r64Ycf2Lx5M+3atXM47o59qGlnHVfZ+++/z9ChQ0lKSqJNmzZMnjyZiIgINm7c6OqmuQUvLy9CQ0PtX82aNXN1k1yqb9++jB8/nv79+1c7Z7Va+eCDDxg9ejT9+/cnNjaW559/nsLCQrZu3eqC1jY8Z/GpZDQaHfpUUFBQA7bQtV599VXuuOMOYmNjiYuLY+rUqaSlpZGcnAyoD9UVn0pNtQ/9+te/pl+/fsTExBATE8OECRPw9fXlyJEjTb7vVHIWo0pNtf9Uslgs/O1vf+PZZ58lMDDQftxd+5CS3qukpKSE5ORkevfu7XC8d+/eHDp0yEWtci8pKSnce++9jBo1iunTp3P27FlXN8ltpaamkpWV5dCfTCYTN9xwA4cPH3Zhy9zLgQMH+M1vfsOYMWN4/fXXyc7OdnWTXCY/Px/A/j9d9SFHF8enkvoQlJWVsX37dgoLC+nSpYv6Tg0ujlGlpt5/Zs2aRb9+/ejVq5fDcXftQ01vHP4aycnJoby8nJCQEIfjISEhTe4/gpokJCTw/PPPExMTQ3Z2NsuXL2fy5MksXryY4OBgVzfP7WRlZQHU2J/S0tJc0SS306dPHwYMGEBkZCSpqaksWrSIp59+mvnz52MymVzdvAZltVqZO3cu3bp1s//ZVX3oFzXFB9SHfvrpJyZNmkRxcTG+vr5Mnz6dtm3b2gdq1HdqjxGo/2zfvp3k5GTmz59f7Zy7fv4o6b3KPDw8XN0Et1Q58b9S586defDBB9myZQv33Xefi1rl/mrqT+pjNoMGDbJ/HxsbS8eOHXnggQf44osvnE6JaIxmz57N8ePHeeutt6qdUx+qPT5NvQ/FxMSwYMECzGYz//rXv5g5cyazZs2yn1ffqT1Gbdu2bdL9Jz09nf/93//l1VdfdZrgu1sfUtJ7lQQHB+Pp6Wn/7aZSdnZ2td90BHx9fWnXrh0pKSmubopbCg0NBWy/LYeFhdmPqz/VLiwsjBYtWjS5PvXmm2+yd+9eZs+eTXh4uP24+pBNbfGpSVPrQ0aj0f6QVseOHfnhhx9Yu3Yto0aNAtR3oPYYPfPMM9WubUr9Jzk5mezsbB577DH7sfLycr799ls+/PBDli1bBrhfH9Kc3qvEaDQSHx/Pvn37HI7v37+frl27uqhV7qu4uJiTJ0/a/8csjqKioggNDXXoTyUlJRw8eNBhPpn8Iicnh/T09CbTp6xWK7Nnz2b37t288cYbREVFOZxv6n2orvjUpKn1oYtZrVZKSkqafN9xpjJGNWlK/adnz54sWrSIBQsW2L86duzIkCFDWLBgAS1btnTLPqSR3qto5MiRzJgxg44dO9KlSxc2b95MWloaw4YNc3XTXG7evHn86le/okWLFmRnZ7NixQoKCgq4/fbbXd00l7FYLA4jAqmpqRw7dozAwEBatGjBvffey3vvvUd0dDTR0dGsWLECHx8fhgwZ4sJWNxxn8QkKCmLJkiX079+fsLAwzp07x4IFCwgODuaWW25xYasbzqxZs9i2bRt//etf8fPzs/+Vyd/fH29vbzw8PJp0H6orPhaLpUn3oXfffZe+ffsSERFBQUEB27dv5+DBg7zyyitNvu9Uchajpt5//Pz8qq236+PjQ1BQkP24O/Yhjx07dlhddvdGaP369axatYqsrCzatm3LpEmTuOGGG1zdLJebPn063377LTk5OTRr1oyEhATGjRtnfyCgKTpw4ABPPfVUteO33347zz//vH1h702bNtkX9p4yZUqTWRzeWXyeeuop/vSnP3Hs2DHMZjNhYWH06NGDcePGERER4YLWNrzExMQaj0+dOpU77rgDoEn3obriU1RU1KT70Kuvvso333xDVlYW/v7+tGvXjlGjRtmftm/KfaeSsxg19f5TkylTphAXF1dtcwp36kNKekVERESk0dOcXhERERFp9JT0ioiIiEijp6RXRERERBo9Jb0iIiIi0ugp6RURERGRRk9Jr4iIiIg0ekp6RURERKTRU9IrIiIiIo2ekl4RkXrYs2cP69evdzi2ZMkS7rzzzgZvS1ZWFkOHDuXYsWMNfm9nzGYzS5Ys4eeff3Y4fu7cORITE9m1a9cV1f/Pf/6Thx9+mLKysiuqR0SaJiW9IiL1sGfPHjZs2OBwLCkpib///e8N3pYVK1Zwww03EBcX1+D3dsZsNrN06VJOnjx5TeofNGgQxcXFbNmy5ZrULyKNm5JeEZHLFB4eTqdOnRr0ngUFBXzyySckJSU16H3dgZeXF7fddhtr1651dVNE5DpkcHUDRETc3cyZM+2ji4mJiQDcfvvtREZGsnr1aj755BMADhw4wFNPPcUrr7zC5s2b+frrrwkMDOTRRx/l1ltvZe3ataxZs4aCggL69+/Pk08+iclkst8nIyODd955h6+++orCwkI6derEH/7wBzp27Gi/pnKKQJ8+fRzamJiYyMSJE8nLy+Pjjz+mtLSUpKQkfv/73/PNN98wb948UlJSSEhI4PnnnyciIsJeNjc3l/nz5/P5559jsVho164d48aN4z/+4z/s10yZMgVfX19uv/12Fi1aREZGBgkJCTzzzDO0atWKc+fOMWrUKACmTZtmL/ePf/zD/n1xcTGzZ89m69atmEwmhgwZwsSJE/Hy8rL//HPmzOHbb7/FbDYTFhbGzTffzKRJk+x1DBw4kGXLlnHs2DG3G+kWEffmNXbs2GmuboSIiDuLjY0lJSUFq9XKzJkzSUpKok+fPvz0008cPnyY0aNHA7a5q1u2bOHw4cP07duX++67j+zsbFauXElhYSGHDx/mkUceoUOHDqxatQqj0Uj37t0ByMvL4/HHHycvL49HH32U2267jWPHjrFixQruvPNOfH19AVi9ejW+vr7cddddDm1cunQpp06dIjg4mIcffpiIiAjee+898vPz2bhxIw8++CADBw5k69atHD58mNtuuw2AsrIynn76aQ4fPsyECRNISkri1KlTLF26lO7duxMVFQXAp59+ysmTJzlx4gRjx47lpptuYuvWrXzzzTckJSVhMpmIj49nx44dTJgwgfHjx5OUlESrVq2wWCysXbuW5ORkWrduzZgxYwgJCWHlypWEhYXZk/o///nPpKSkMHHiRO6++246dOhARkYGffv2tf+czZo1Y+3atTRv3pyuXbte2394EWlUNNIrIlKHVq1a0axZM9LS0ujcuXOd1w8cOJAxY8YA0KlTJ3bv3s327dtZsWIFRqMRsI0K79q1y54wf/DBB5jNZubNm0dISAgAPXv2ZPTo0axevZrf//73ACQnJ9OrV68a79u8eXP++Mc/AraR4L1797J27VoWL15MmzZtADh//jxvvvkmZrOZgIAAvvjiC3744QdmzJhBv3797GXHjRvH0qVLufHGG+31m81m3n33XZo1a2Z///rrr5ORkUF4eDgdOnQAIDo6usY4derUiSeeeAKA3r17s3//fnbt2sXdd98NwPfff8+jjz7KoEGD7GVuv/12hzo8PDxo164d33//fZ3/DiIiVWlOr4jIVVY1KQ0ICCAkJITu3bvbE16wJYbp6en29/v27ePGG28kKCiIsrIyysrK8PLyolu3bvz444/26zIzM+1Jp7P7Vt4jLCzMnvBWHgPbVAKA7777Dj8/P3vCC+Dp6cnAgQM5fPiww0oJcXFxDveurLeyrrpUnS5RWb5q2fj4eNasWcOGDRtISUmptZ7g4GCysrLqdU8RkUoa6RURucoCAgIc3hsMhmrHjEYjxcXF9vc5OTkcOXKEIUOGVKuvZcuW9u+Li4sdkmdn9zUajTUeq6wHbNMqKkeWqwoNDaW0tBSLxWKvo6666lJXDP7yl7+wYMECFi5cyKxZs4iJiWHChAn079/foZzJZKKoqKhe9xQRqaSkV0TEDQQGBtqnFVysapIbGBiI2Wy+qvfNzs6udjwrKwuDwWCfS9wQwsLCmDp1KuXl5SQnJ7N8+XKmT5/OsmXLHBJ/s9lMcHBwg7VLRBoHTW8QEakHg8FQ7xHNy9GrVy9OnjxJ69at6dixo8NXu3bt7NfFxMSQmpp61e7brVs3CgoK+Oqrr+zHysvL2blzJ126dLGvrFAfBoNtHOVK4+Tp6UmnTp0YP348ZWVl1aY6pKamEhMTc0X3EJGmRyO9IiL10KZNGz755BO2bdtGdHT0VR9pHDlyJFu3bmXKlCmMGDGCiIgIcnJy+P777wkLC2PkyJEAdO3alZ07d161+/br149OnTrx8ssvM2HCBMLDw9m4cSOnT59mypQpl1RXaGgoAQEBbNu2jcjISEwmk0PC7ozZbOa5557j1ltvpXXr1pSWlrJu3ToCAgKIj4+3X5efn8/p06cZO3bsJbVNRERJr4hIPQwdOpQffviBN998k9zcXPs6vVdLcHAwc+fOZeHChbzzzjvk5ubSrFkzOnfuzM0332y/bsCAAaxcuZIzZ87YH0q7El5eXrzyyiu8/fbbvPvuu1gsFtq3b8+MGTPo0aPHJdXl6enJc889x8KFC3nmmWcoKSlxWKfXmcoE+cMPPyQ9PR1vb2/i4+N57bXXHH7B+Oqrr/D29nZYxkxEpD48duzYYXV1I0REpP4mTpzITTfdxMMPP+zqpjS4v/zlL/j7+zN16lRXN0VErjOa0ysicp156KGH2LBhwzWdY+yOzp49y5dffmlf21hE5FJoeoOIyHXm5ptvJiUlhbS0tCb1QNf58+d59tlnadWqlaubIiLXIU1vEBEREZFGT9MbRERERKTRU9IrIiIiIo2ekl4RERERafSU9IqIiIhIo6ekV0REREQaPSW9IiIiItLoKekVERERkUZPSa+IiIiINHr/D/XSlW6M3Zu9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.scatter(df['t(months)'],df['q(stb/day)'],marker='v')\n",
    "plt.style.use('grayscale')\n",
    "plt.figure(figsize=(8,5))\n",
    "\n",
    "# plt.plot(t,q,label='Cartesian q vs t')\n",
    "plt.plot(df['t(months)'],df['q(stb/day)'],marker='v',label='Available Data')\n",
    "\n",
    "plt.plot(t_future, q_future, color='red', marker = 'X' , label='Forecast')\n",
    "\n",
    "# plt.axvspan(25,40,color='green', alpha=0.3, label='The Future')\n",
    "\n",
    "plt.axhline(y=30,color='brown',alpha=0.2)\n",
    "plt.axvline(x=35,color='brown',label='Abandonmaent time if 30 STB/D was q(abandnmt)')\n",
    "\n",
    "plt.axvspan(25,35,color='darkgreen', alpha=0.3, label='The Producing Future')\n",
    "plt.axvspan(35,40,color='black', alpha=0.3, label='The Post Abandonment Future')\n",
    "plt.xlabel('time(months)')\n",
    "plt.ylabel('q(stb/d)')\n",
    "\n",
    "\n",
    "plt.title('Production Forecast Using DCA!')\n",
    "\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 3 :- Working with Production Data : Example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
